Find the missing dimension of pyramid.

V = 263.53 m3
h = 9.75 m
B = __________

Select one:

a.
90 cm2

b.
80 cm2

c.
82 cm2

d.
81 cm2

To find the missing base area (B) 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,
- \( B \) is the area of the base,
- \( h \) is the height.

Given:
- \( V = 263.53 \, \text{m}^3 \),
- \( h = 9.75 \, \text{m} \).

Now, solve for \( B \):

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

Substitute the known values:

\[
B = \frac{3 \times 263.53}{9.75}
\]

Let's calculate that.The base area \( B \) is approximately \( 81.09 \, \text{m}^2 \).

Since none of the options directly match \( 81.09 \, \text{m}^2 \), the closest choice is:

**d. 81 cm²** (although it should be converted to m²: \( 81 \, \text{m}^2 \)).

Would you like further details or explanations?

Here are 5 related questions:
1. How do you convert square meters to square centimeters?
2. What are other types of pyramids and their volume formulas?
3. How does the volume formula change for a right circular cone?
4. Can you calculate the height if the volume and base area are known?
5. How do the formulas for pyramids differ in non-Euclidean geometry?

**Tip:** Always check if the units are consistent throughout the problem, especially with area and volume!

Find the missing dimension of the pyramid.

V = 263.53 m³
h = 9.75 m
B = __________

Select one:

a.
90 cm²

b.
80 cm²

c.
82 cm²

d.
81 cm²

Learn how to calculate the missing base area of a pyramid with a given volume of 263.53 m³ and height of 9.75 m. This problem applies key geometry concepts such as volume of 3D shapes and unit conversions. Suitable for students in Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation