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Sonja [21]
3 years ago
6

What is the volume? ___ cubic inches

Mathematics
1 answer:
borishaifa [10]3 years ago
5 0

Answer:

<h2>224 cubic inches</h2>

Step-by-step explanation:

It's a prism.  

The formula of a volume of a prism:

V=BH

<em>B</em><em> - area of a base</em>

<em>H</em><em> - height</em>

We have a triangle in the base.

The formula of an area of a triangle:

A=\dfrac{bh}{2}

<em>b</em><em> - base</em>

<em>h</em><em> - height</em>

We have <em>b = 4in, h = 7in</em>.

Substitute:

B=\dfrac{(4)(7)}{2}=\dfrac{28}{2}=14\ in^2

Put the value of a base <em>B = 14 in²</em> and the height <em>H = 16 in</em> to the formula of a volume:

V=(14)(16)=224\ in^3

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