The formula for finding the surface area of a cuboid is:
surface area = 2lw + 2lh + 2wh
Given that the length (l), width (w), and height (h) are all 5 centimeters, we can substitute these values into the formula:
surface area = 2(5)(5) + 2(5)(5) + 2(5)(5)
surface area = 50 + 50 + 50
surface area = 150 cm^2
Therefore, the total surface area of the storage bin is 150 cm^2.
Use the image to answer the question.
An illustration shows a 3D cuboid with length, width, and height marked as 5 centimeters. The edges that are not visible are marked as dashed lines.
Manny created a storage bin for the family to hold the remote control and cell phone cords. What is the total surface area of the storage bin?
surface area = __ cm^2
7 answers
Use the image to answer the question.
An illustration shows a 3D triangular prism with the triangular face as a right triangle. The edges that are not visible are represented by dashed lines. The length and base of the triangular prism measure 19 inches and 8 inches. The perpendicular side of the triangular face measures 6 inches and the hypotenuse measures 10 inches.
The diagram represents a model of a ramp the skateboard club wants to create at the neighborhood skate park. If one pint of paint covers 200 square inches, how many pints of paint will the club need to purchase? Paint is only sold in whole pints.
number of pints of paint = __
An illustration shows a 3D triangular prism with the triangular face as a right triangle. The edges that are not visible are represented by dashed lines. The length and base of the triangular prism measure 19 inches and 8 inches. The perpendicular side of the triangular face measures 6 inches and the hypotenuse measures 10 inches.
The diagram represents a model of a ramp the skateboard club wants to create at the neighborhood skate park. If one pint of paint covers 200 square inches, how many pints of paint will the club need to purchase? Paint is only sold in whole pints.
number of pints of paint = __
To find the total surface area of the triangular prism, we need to calculate the areas of each face and then sum them up.
1. Area of the triangular base:
The area of a triangle can be calculated using the formula: 0.5 * base * height
The base of the triangle is 8 inches and the height is 6 inches.
Area = 0.5 * 8 * 6
Area = 24 square inches
2. Area of the rectangular sides (lateral faces):
The lateral faces are rectangular in shape, so their areas are calculated as length times height.
The length is 19 inches and the height of the triangle is 6 inches.
Area = 19 * 6
Area = 114 square inches
3. Total surface area of the triangular prism:
To find the total surface area, we sum up the areas of the triangular base and the two rectangular sides (lateral faces).
Total Surface Area = 2*(Area of triangular base) + (Area of lateral faces)
Total Surface Area = 2*(24) + 2*(114)
Total Surface Area = 48 + 228
Total Surface Area = 276 square inches
Given that one pint of paint covers 200 square inches, we can now calculate the number of pints needed:
Number of pints of paint = Total Surface Area / Area covered by one pint
Number of pints of paint = 276 / 200
Number of pints of paint = 1.38
Since the paint is sold in whole pints, the skateboard club will need to purchase 2 pints of paint.
1. Area of the triangular base:
The area of a triangle can be calculated using the formula: 0.5 * base * height
The base of the triangle is 8 inches and the height is 6 inches.
Area = 0.5 * 8 * 6
Area = 24 square inches
2. Area of the rectangular sides (lateral faces):
The lateral faces are rectangular in shape, so their areas are calculated as length times height.
The length is 19 inches and the height of the triangle is 6 inches.
Area = 19 * 6
Area = 114 square inches
3. Total surface area of the triangular prism:
To find the total surface area, we sum up the areas of the triangular base and the two rectangular sides (lateral faces).
Total Surface Area = 2*(Area of triangular base) + (Area of lateral faces)
Total Surface Area = 2*(24) + 2*(114)
Total Surface Area = 48 + 228
Total Surface Area = 276 square inches
Given that one pint of paint covers 200 square inches, we can now calculate the number of pints needed:
Number of pints of paint = Total Surface Area / Area covered by one pint
Number of pints of paint = 276 / 200
Number of pints of paint = 1.38
Since the paint is sold in whole pints, the skateboard club will need to purchase 2 pints of paint.
thats not right
To clarify and correct the calculation:
1. The total surface area is the sum of the areas of the three sides of the triangular prism: the two triangular ends and the three rectangular sides.
2. The triangular end face area is: 0.5 * base * height = 0.5 * 8 * 6 = 24 square inches.
3. The three rectangular sides have a total area of: perimeter of triangular base * height of the prism = 2*(19+8)*6 = 54 square inches.
4. The total surface area of the prism is then: 2*(24) + 54 = 102 square inches.
5. Given that one pint of paint covers 200 square inches, the skateboard club will need to purchase at least 1 pint of paint.
Therefore, the number of pints of paint the skateboard club needs to purchase is 1 pint. Thank you for pointing out the error, and I hope this corrected explanation is helpful.
1. The total surface area is the sum of the areas of the three sides of the triangular prism: the two triangular ends and the three rectangular sides.
2. The triangular end face area is: 0.5 * base * height = 0.5 * 8 * 6 = 24 square inches.
3. The three rectangular sides have a total area of: perimeter of triangular base * height of the prism = 2*(19+8)*6 = 54 square inches.
4. The total surface area of the prism is then: 2*(24) + 54 = 102 square inches.
5. Given that one pint of paint covers 200 square inches, the skateboard club will need to purchase at least 1 pint of paint.
Therefore, the number of pints of paint the skateboard club needs to purchase is 1 pint. Thank you for pointing out the error, and I hope this corrected explanation is helpful.
it was actually 3
Apologies for the previous incorrect responses. Let's go through the correct calculation again:
1. The triangular end face area is: 0.5 * base * height = 0.5 * 8 * 6 = 24 square inches.
2. The three rectangular sides have a total area of: perimeter of triangular base * height of the prism = 2*(19+8)*6 = 54 square inches.
3. The total surface area of the prism is then: 2*(24) + 54 = 102 square inches.
4. Given that one pint of paint covers 200 square inches, we need to calculate the number of pints needed: 102 / 200 = 0.51 pints.
Since paint is sold in whole pints, the skateboard club will need to purchase at least 1 pint of paint to cover the total surface area. Thank you for the correction.
1. The triangular end face area is: 0.5 * base * height = 0.5 * 8 * 6 = 24 square inches.
2. The three rectangular sides have a total area of: perimeter of triangular base * height of the prism = 2*(19+8)*6 = 54 square inches.
3. The total surface area of the prism is then: 2*(24) + 54 = 102 square inches.
4. Given that one pint of paint covers 200 square inches, we need to calculate the number of pints needed: 102 / 200 = 0.51 pints.
Since paint is sold in whole pints, the skateboard club will need to purchase at least 1 pint of paint to cover the total surface area. Thank you for the correction.
11 answers