Question

A solid sculpture in the shape of a square pyramid is made of 10.5 in.3 of glass. If the area of the square base is 9 in2, what is the height of the pyramid?
1.5 in.
3 in.
3.5 in.
4 in.

Answer 1

Answer:

the awnser is 3.5

Step-by-step explanation:

edgenuity

Answer 2

Given :- A solid sculpture in the shape of a square pyramid is made of 10.5 in.3 of glass. If the area of the square base is 9 in2, what is the height of the pyramid?

A) 1.5 in.

B) 3 in.

C) 3.5 in.

D) 4 in.

Solution :-

we know that,

• volume of pyramid = (1/3) * Base area * Height .

given that,

• volume = 10.5 inch³.
• Area of base of square = 9 inch² .

Let us assume that, height of the pyramid is h inch.

then,

→ volume = (1/3) * Base area * Height .

→ 10.5 = (1/3) * 9 * Height

→ 10.5 = 3 * Height

→ Height = (10.5/3)

→ Height = 3.5 inch . (C) (Ans.)

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