To find the volume of the hexagonal prism, we first need to calculate the area of the hexagonal base.
The formula to find the area of a regular hexagon is: Area = 3√3 * (side length)^2 / 2
In this case, the side length of the hexagon is 30 cm.
Area = 3√3 * (30)^2 / 2
Area = 3√3 * 900 / 2
Area = 3√3 * 450
Area = 752.93 cm^2
Now, to find the volume of the hexagonal prism, we need to multiply the area of the base by the height of the prism.
Volume = Area of base * height
Volume = 752.93 cm^2 * 8 cm
Volume = 6023.44 cm^3
Therefore, the volume of the box is 6023.44 cm^3.
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?
Make ur answer in cm^3
1 answer
1 answer