5. Find the volume of the composite space figure to the nearest whole number. (1 point)

Mathematics

1 answer:

-BARSIC- [3]2 years ago

8 0

Answer:

(d) 944 mm³

Step-by-step explanation:

The volume of a prism is given by the formula ...

V = Bh

where B is the area of the base, and h is the distance between bases.

Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...

A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²

The area of the rectangle is the product of its length and width.

A = LW = (9 mm)(6 mm) = 54 mm²

So, the total base area is ...

31.809 mm² +54 mm² = 85.809 mm²

<h3>prism volume</h3>

The prism volume is this area multiplied by the length of the figure:

V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³

The volume of the figure is about 944 mm³.

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