Type the correct answer in the box.
12 cm
5 cm
5 cm
a rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. a pyramid with the same base and
half the height of the prism is placed inside the prism, as shown in the figure.
the volume of the space outside the pyramid but inside the prism is
cubic centimeters.
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Step-by-step explanation:

step 1

Find the volume of the prism

The volume of the prism is equal to

we have

substitute

step 2

Find the volume of the pyramid

The volume of the pyramid is

where

B is the area of the base

---> half the height of the prism

substitute

step 3

we know that

The volume of the space outside the pyramid but inside the prism is equal to subtract the volume of the pyramid from the volume of the cylinder

1

step-by-step explanation:

it's the only multiple of both and the least

hi there!

the answer to this question is d: 35

step-by-step explanation:

5 to the power of 2 is 25

2 multiplied by 5 is 10

then you add the 2 numbers and you get 35