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What is the answer? Please help. Urgent.

What is the answer? Please help. Urgent.-example-1
User Eedoh
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1 Answer

5 votes

Given:

A figure that contains a right triangular prism and cuboid.

To find:

The volume of the figure.

Solution:

The dimensions of cuboid are 16 in, 7 in and 3 in.

So, the volume of the cuboid is:


V_1=Length* Width * height


V_1=16* 7 * 3


V_1=336

The base of the prism is a right angle with base 3 in and height 5 in, and the length of the prism is 6 in. So, the base are of the prism is


B=(1)/(2)* Base* Height


B=(1)/(2)* 3* 5


B=7.5

The volume of a prism is:


V_2=Bh

Where, B is the base area and h is the height of the prism.


V_2=(7.5)(6)


V_2=45

The volume of combined figure is:


V=V_1+V_2


V=336+45


V=381

Therefore, the volume of the figure is 381 cubic in.

User Novak
by
8.5k points

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