Chapter 12: Q15. (page 485)

A pyramid has a base area of 16 cm² and a volume of 32 cm². Find its height.

Short Answer

Expert verified

The height of the pyramid is6 cm.

Step by step solution

Step 1. Given information.

Base area of pyramid is 16 cm² and volume is 32 cm².

Step 2. Write the concept.

The volume of the pyramid is given by the following formula:

$V = \frac{1}{3} b h$

Here b is the base area and h be the height of pyramid.

Step 3. Determine the height.

Substitute the given values in the formula.

$\begin{matrix} V = \frac{1}{3} b h \\ 32 = \frac{1}{3} (16) h [substitute] \\ h = 6 [simplify] \end{matrix}$

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A pyramid has a base area of 16 cm² and a volume of 32 cm². Find its height.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Determine the height.

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A pyramid has a base area of 16 cm2 and a volume of 32 cm2. Find its height.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Determine the height.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Probability and Statistics

Calculus

Statistics

Geometry

Mechanics Maths

Study anywhere. Anytime. Across all devices.

A pyramid has a base area of 16 cm² and a volume of 32 cm². Find its height.