Find the missing dimension of pyramid.

 

V = 172 cm3
B = 40 cm3
h = ____________

 

Select one:

a.
12.9 cm3


b.
11.9 cm3


c.
13.9 cm3


d.
21.9 cm3



To find the missing height \( h \) of the pyramid, we can use the formula for the volume of a pyramid:

\[
V = \frac{1}{3} B h
\]

Where:
- \( V \) is the volume of the pyramid,
- \( B \) is the area of the base,
- \( h \) is the height of the pyramid.

We are given:
- \( V = 172 \, \text{cm}^3 \),
- \( B = 40 \, \text{cm}^2 \),
- \( h \) is the unknown.

Rearranging the formula to solve for \( h \):

\[
h = \frac{3V}{B}
\]

Now, substitute the values of \( V \) and \( B \):

\[
h = \frac{3 \times 172}{40}
\]

Let me calculate that.

\[
h = \frac{516}{40} = 12.9 \, \text{cm}
\]

So the missing height \( h \) is **12.9 cm**, and the correct answer is:

**a. 12.9 cm**

Would you like further details or have any other questions?

Here are 5 related questions for practice:
1. What is the formula for the volume of a rectangular pyramid?
2. If the base area were doubled, how would it affect the height?
3. How do you calculate the surface area of a pyramid?
4. What happens to the volume if the height of the pyramid is halved?
5. If the volume is 300 cm³ and the base area is 50 cm², what is the height?

**Tip**: When solving for height in a pyramid, always isolate \( h \) by multiplying both sides by 3 and dividing by the base area \( B \).

Find the missing dimension of the pyramid. V = 172 cm³, B = 40 cm², h = ____________. Select one: a. 12.9 cm, b. 11.9 cm, c. 13.9 cm, d. 21.9 cm

Learn how to find the missing height of a pyramid with a volume of 172 cm³ and a base area of 40 cm². This solution explains the key geometry concepts, including the formula for the volume of a pyramid and step-by-step calculations. Perfect for students in Grades 6-8.

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