Question

3.

The two right triangular prisms are congruent. What is the area of their bases?
15 in.
V = 90 in.
The two cylinders are congruent What is the height of cylinder B?

Answer 1

Explanation:

3. The prisms are congruent, so they have the same base, height, and volume.

Volume of a prism is:

V = Ah

Plugging in values and solving for A:

90 in³ = A (15 in)

A = 6 in²

4. The cylinders are congruent, so they have the same radius, height, and volume.

Volume of a cylinder is:

V = πr²h

Plugging in values and solving for h:

176π cm³ = π (4 cm)² h

h = 11 cm