To find the volume of the hexagonal prism box, we first need to find the area of the hexagonal base.
The area of a regular hexagon can be calculated using the formula:
Area = 3√3 * (side length)^2 / 2
Since the hexagon is regular, each side length is equal to 30 cm. Plugging in the values, we get:
Area = 3√3 * (30)^2 / 2
Area = 3√3 * 900 / 2
Area = 3√3 * 450
Area = 1350√3 cm^2
Next, we can find the volume of the hexagonal prism by multiplying the area of the base by the height:
Volume = area of base * height
Volume = 1350√3 * 8
Volume = 10800√3 cm^3
Therefore, the volume of the box is 10800√3 cubic centimeters.
Use the image to answer the question.An illustration shows a hexagonal prism with the label Choosy Cheesy on the top surface. The height of the hexagonal prism is 8 centimeters. The two longer parallel sides of the hexagonal prism each measure 30 centimeters in length. One end of the prism is marked with a dashed line measuring 15 centimeters across, joining the two opposite vertices of the parallel edges, forming a triangular prism with a perpendicular measure of 8 centimeters. A sample of gourmet cheeses came in this box. What is the volume of the box?(1 point) cm3
11 answers
for anyone seeing this all I put was 240
Use the image to answer the question.
An illustration shows a structure of a building shaped like an inverted letter upper L, formed by two rectangular perpendicular prisms to look like a two-winged building. The structure is 9 meters high. The horizontal rectangular prism has an overall length of 30 meters along the back edge. It has a width of 6 meters. Doors are drawn along the inside 24-meter length. The smaller perpendicular rectangular prism adjoins the horizontal prism along the right side and extends forward. It shows an inner length of 21 meters.
What is the total volume of this corner store?
Use the image to answer the question.
An illustration shows a structure of a building shaped like an inverted letter upper L, formed by two rectangular perpendicular prisms to look like a two-winged building. The structure is 9 meters high. The horizontal rectangular prism has an overall length of 30 meters along the back edge. It has a width of 6 meters. Doors are drawn along the inside 24-meter length. The smaller perpendicular rectangular prism adjoins the horizontal prism along the right side and extends forward. It shows an inner length of 21 meters.
What is the total volume of this corner store?
To find the total volume of the corner store, we need to calculate the volumes of both rectangular prisms separately and then add them together.
1. Volume of the horizontal rectangular prism:
Volume = length x width x height
Volume = 24m x 6m x 9m
Volume = 1296 cubic meters
2. Volume of the smaller perpendicular rectangular prism:
Volume = length x width x height
Volume = 21m x 6m x 9m
Volume = 1134 cubic meters
Total volume = Volume of horizontal rectangular prism + Volume of smaller rectangular prism
Total volume = 1296 cubic meters + 1134 cubic meters
Total volume = 2430 cubic meters
Therefore, the total volume of the corner store is 2430 cubic meters.
1. Volume of the horizontal rectangular prism:
Volume = length x width x height
Volume = 24m x 6m x 9m
Volume = 1296 cubic meters
2. Volume of the smaller perpendicular rectangular prism:
Volume = length x width x height
Volume = 21m x 6m x 9m
Volume = 1134 cubic meters
Total volume = Volume of horizontal rectangular prism + Volume of smaller rectangular prism
Total volume = 1296 cubic meters + 1134 cubic meters
Total volume = 2430 cubic meters
Therefore, the total volume of the corner store is 2430 cubic meters.
wrong
Apologies for the mistake. Let's calculate the correct total volume of the corner store.
1. Volume of the horizontal rectangular prism:
Volume = Length x Width x Height
Volume = 24m x 6m x 9m
Volume = 1296 cubic meters
2. Volume of the smaller perpendicular rectangular prism:
Volume = Length x Width x Height
Volume = 21m x 6m x 9m
Volume = 1134 cubic meters
Total volume = Volume of horizontal rectangular prism + Volume of smaller rectangular prism
Total volume = 1296 cubic meters + 1134 cubic meters
Total volume = 2430 cubic meters
Therefore, the correct total volume of the corner store is 2430 cubic meters. Thank you for your patience.
1. Volume of the horizontal rectangular prism:
Volume = Length x Width x Height
Volume = 24m x 6m x 9m
Volume = 1296 cubic meters
2. Volume of the smaller perpendicular rectangular prism:
Volume = Length x Width x Height
Volume = 21m x 6m x 9m
Volume = 1134 cubic meters
Total volume = Volume of horizontal rectangular prism + Volume of smaller rectangular prism
Total volume = 1296 cubic meters + 1134 cubic meters
Total volume = 2430 cubic meters
Therefore, the correct total volume of the corner store is 2430 cubic meters. Thank you for your patience.
still wrong the answer isn't 2430
I apologize for the oversight. Let's correct the calculation.
1. Volume of the horizontal rectangular prism:
Volume = Length x Width x Height
Volume = 24m x 6m x 9m
Volume = 1296 cubic meters
2. Volume of the smaller perpendicular rectangular prism:
Volume = Length x Width x Height
Volume = 30m x 6m x 9m (since the smaller prism extends forward along the 30m length of the horizontal prism)
Volume = 1620 cubic meters
Total volume = Volume of horizontal rectangular prism + Volume of smaller rectangular prism
Total volume = 1296 cubic meters + 1620 cubic meters
Total volume = 2916 cubic meters
Therefore, the correct total volume of the corner store is 2916 cubic meters. Thank you for pointing out the error.
1. Volume of the horizontal rectangular prism:
Volume = Length x Width x Height
Volume = 24m x 6m x 9m
Volume = 1296 cubic meters
2. Volume of the smaller perpendicular rectangular prism:
Volume = Length x Width x Height
Volume = 30m x 6m x 9m (since the smaller prism extends forward along the 30m length of the horizontal prism)
Volume = 1620 cubic meters
Total volume = Volume of horizontal rectangular prism + Volume of smaller rectangular prism
Total volume = 1296 cubic meters + 1620 cubic meters
Total volume = 2916 cubic meters
Therefore, the correct total volume of the corner store is 2916 cubic meters. Thank you for pointing out the error.
A bottle of perfume is made up of a triangular prism exterior with a cylindrical interior that holds the perfume. What is the volume of the cylinder? The dimensions are length=4 in.; width=3 in.; height=5 in.; and diameter=2.6 in.(1 point)
To find the volume of the cylindrical interior that holds the perfume, we need to calculate the volume of a cylinder using the formula:
Volume = πr^2h
Given that the diameter of the cylinder is 2.6 inches, the radius (r) can be calculated by dividing the diameter by 2:
r = 2.6 in / 2
r = 1.3 inches
The height (h) of the cylindrical interior is given as 5 inches.
Now, plug the values of radius and height into the formula to find the volume:
Volume = π(1.3)^2(5)
Volume ≈ π(1.69)(5)
Volume ≈ 8.45π cubic inches
Therefore, the volume of the cylindrical interior that holds the perfume is approximately 8.45π cubic inches.
Volume = πr^2h
Given that the diameter of the cylinder is 2.6 inches, the radius (r) can be calculated by dividing the diameter by 2:
r = 2.6 in / 2
r = 1.3 inches
The height (h) of the cylindrical interior is given as 5 inches.
Now, plug the values of radius and height into the formula to find the volume:
Volume = π(1.3)^2(5)
Volume ≈ π(1.69)(5)
Volume ≈ 8.45π cubic inches
Therefore, the volume of the cylindrical interior that holds the perfume is approximately 8.45π cubic inches.
READ IT CAREFULLY and answer the question
illustration shows a structure of a building shaped like an inverted letter upper L, formed by two rectangular perpendicular prisms to look like a two-winged building. The structure is 9 meters high. The horizontal rectangular prism has an overall length of 30 meters along the back edge. It has a width of 6 meters. Doors are drawn along the inside 24-meter length. The smaller perpendicular rectangular prism adjoins the horizontal prism along the right side and extends forward. It shows an inner length of 21 meters.
What is the total volume of this corner store?
illustration shows a structure of a building shaped like an inverted letter upper L, formed by two rectangular perpendicular prisms to look like a two-winged building. The structure is 9 meters high. The horizontal rectangular prism has an overall length of 30 meters along the back edge. It has a width of 6 meters. Doors are drawn along the inside 24-meter length. The smaller perpendicular rectangular prism adjoins the horizontal prism along the right side and extends forward. It shows an inner length of 21 meters.
What is the total volume of this corner store?
To find the total volume of the corner store, we can break it down into two main parts and then calculate the volumes of each part before adding them together.
1. Volume of the horizontal rectangular prism:
Volume = Length x Width x Height
Volume = 24m x 6m x 9m (since the doors are along the 24-meter length)
Volume = 1296 cubic meters
2. Volume of the smaller perpendicular rectangular prism:
Volume = Length x Width x Height
Volume = 21m x 6m x 9m
Volume = 1134 cubic meters
Total volume = Volume of the horizontal rectangular prism + Volume of the smaller rectangular prism
Total volume = 1296 cubic meters + 1134 cubic meters
Total volume = 2430 cubic meters
Therefore, the total volume of the corner store is 2430 cubic meters. Thank you.
1. Volume of the horizontal rectangular prism:
Volume = Length x Width x Height
Volume = 24m x 6m x 9m (since the doors are along the 24-meter length)
Volume = 1296 cubic meters
2. Volume of the smaller perpendicular rectangular prism:
Volume = Length x Width x Height
Volume = 21m x 6m x 9m
Volume = 1134 cubic meters
Total volume = Volume of the horizontal rectangular prism + Volume of the smaller rectangular prism
Total volume = 1296 cubic meters + 1134 cubic meters
Total volume = 2430 cubic meters
Therefore, the total volume of the corner store is 2430 cubic meters. Thank you.
5 answers