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Law Incorporation [45]
3 years ago
8

a rectangular prism has a volume of 144 cm3. the base is a square with a length of 4 cm. what is the height of the prism

Mathematics
1 answer:
frutty [35]3 years ago
4 0

Answer:

9 cm

Step-by-step explanation:

The volume is given by the formula ...

V = LWH

Filling in the given numbers, you have ...

144 cm^3 = (4 cm)(4 cm)H

H = (144 cm^3)/(16 cm^2) = 9 cm

The height of the prism is 9 cm.

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Answer:

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2. The measure of ∠YOZ is 60°. You would use the vertical angles that are non-adjacent (∠WOV, and ∠YOZ). These two angles are congruent so they would have the same measure. These angles combined also create supplementary angles

3. Another way to find the measure of ∠YOZ would be to make/write an equation and solve for x. For example, (3x+30)°=60°. x would equal 10 because 10x3=30+30=60°

Step-by-step explanation:

1. Since a complementary angle would equal 90°, simply subtract 30° from 90° resulting in 60°.

2. Because vertical angles are congruent and (∠WOV, and ∠YOZ) are a pair of them, they equal the same as each other so they're both 60°.

3. You can make any equation with x included as long as it equals 60° mine was just an example you can make your own like 10x+10=60 or 4x+20=60. Also to create your equation you also need to use the angle fact of the vertical angles

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Step-by-step explanation:

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