To calculate the volume of each shape, we need to use the formula for volume of a pyramid and volume of a rectangular prism.
Volume of a pyramid = (1/3) * base area * height
Volume of a prism = base area * height
Let's first calculate the volume of the pyramid:
Base area = 8.41 in. * 5 in. = 42.05 in^2
Volume of pyramid = (1/3) * 42.05 in^2 * 3 in. = 42.05 in^3
Now, let's calculate the volume of the prism:
Base area = 8.41 in. * 5 in. = 42.05 in^2
Volume of prism = 42.05 in^2 * 3 in. = 126.15 in^3
The prism has a larger volume by 126.15 in^3 - 42.05 in^3 = 84.1 in^3. Therefore, the prism has a larger volume by 84.1 in^3.
8.41 in.
8.41 in.
5 in.
3 in.
5 in.
3 in.
Which shape has the larger volume? How much larger is it?
(1 point)
• The pyramid has a larger volume by three times.
• The prism has a larger volume by ‡ times.
The volumes are the same
• The prism has a larger volume by three times.
1 answer