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Please hurry!

Find the VOLUME of this prism with dimensions of 7 cm, 5 cm, and 11
cm. Round to the nearest tenth, if needed.
287.25
261.62
192.5
304.21

Please hurry! Find the VOLUME of this prism with dimensions of 7 cm, 5 cm, and 11 cm-example-1
User MBWise
by
3.9k points

1 Answer

3 votes

Answer:

192.5, third option

Explanation:

The fastest way to do this is to find the volume of a rectangular prism with these measures and to divide it by 2. This is because a triangle is half of a rectangle, and likewise a rectangular prism is half of a rectangular prism.

So, the volume of a rectangular prism with the sides of 7 by 5 by 11 would be:

7 * 5 * 11 = 385

Divide this by 2.

385/2 = 192.5

Thus, the answer is 192.5.

(You could also find the area of the triangular base, then multiply that by the height.

Area of triangle: 7 * 5 * 0.5 = 17.5

Total volume: 17.5 * 11 = 192.5)

User Keen Jin
by
4.5k points