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Salsk061 [2.6K]
3 years ago
7

A rectangular pyramid has a base with dimensions 5 inches by 7 inches. The height of the pyramid is unknown. If the volume of th

e pyramid is 105 cubic inches, what is the height of the pyramid? Explain the steps
Mathematics
2 answers:
PolarNik [594]3 years ago
8 0

Answer:

Substitute the area of the base and the volume into the formula V = 1

3

Bh. After substituting, you have 105 = 1

3

(35)h. Solve for h by multiplying both sides by 3 and then dividing both sides by 35. The height is 9 inches.

Step-by-step explanation:

Ksenya-84 [330]3 years ago
4 0

Answer:

The height of the pyramid is 9\ in

Step-by-step explanation:

we know that

The volume of the rectangular pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the rectangular base of the pyramid

H is the height of the pyramid

<u>Find the area of the base B</u>

B=5*7=35\ in^{2}

we have

V=105\ in^{3}

substitute the value of B and the value of V in the formula and solve for H

105=\frac{1}{3}(35)H

315=(35)H

H=315/35=9\ in

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Answer:

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