Question

a rectangle pyramid fits exactly on top of a rectangular prism. the prism has a length of 18 cm, a width of 6 cm, and a height of 9 cm. the pyramid has a height of 15 cm. find the volume of the composite space figure

Answer 1

To find the volume of the prism you are going to use the formula  V=WxLxH.
When you plug in your numbers you should get V= 18x6x9 which ends up equaling 972.

Now that you have that you need to find the volume of the pyramid using the formula V= L x W x H /3 and when you plug that in it looks like
V= 18 x 6 x 15 /3

Upon simplifying that you get 540.

Now you have the volume of your rectangular prism and your rectangular pyramid add them together and you should get 1512



I recommend drawing it out... it helps a lot:)

Answer 2

The volume of the composite space figure is, 1512 cubic cm if the rectangle pyramid fits exactly on top of a rectangular prism. The prism has a length of 18 cm, a width of 6 cm, and a height of 9 cm.

What is a rectangular prism?

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape, and it is also called a cuboid.

We know the volume of the rectangle pyramid is given by:

$\rm V= \dfrac{1}{3}\times L\times W\times H$

$\rm V= \dfrac{1}{3}\times 18\times 6\times 15$

V = 540 cubic cm

Volume for the rectangular prism is given by:

v = l×w×h

v = 18×6×9

v = 972 cubic cm

Now the volume of the composite space figure:

= 540 + 972

= 1512 cubic cm

Thus, the volume of the composite space figure is, 1512 cubic cm if the rectangle pyramid fits exactly on top of a rectangular prism. The prism has a length of 18 cm, a width of 6 cm, and a height of 9 cm.

Learn more about the rectangular prism here:

brainly.com/question/21308574

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