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Difficulty: EasyVolume and Surface Area of 3D Figures

A solid concrete pillar is built in the shape of a rectangular prism. It has a square base with each side measuring 33 feet, and a total height of 1010 feet. What is the volume of the pillar in cubic feet?

Answer: 90 cubic feet

Answer

90
The volume of a rectangular prism is calculated by multiplying its length, width, and height. Because the base is a square, both the length and the width are 33 feet. Multiplying 3×3×103 \times 3 \times 10 yields a total volume of 9090 cubic feet.

Step-by-Step Solution

1
Identify the proper formula to calculate the volume of a rectangular prism.
Volume = l×w×hl \times w \times h
This is the standard formula used to find the total 3D space occupied by a box-like object.
2
Determine the values of the length, width, and height from the problem description.
Length (ll) = 33 feet, Width (ww) = 33 feet, Height (hh) = 1010 feet.
The base is described as a square with a side measuring 3 feet, meaning both the length and width are 3 feet.
3
Multiply the dimensions to calculate the total volume.
3×3×10=903 \times 3 \times 10 = 90
Multiplying the values provides the final volume in cubic units.

Key Concept

The volume of a rectangular prism is found by multiplying its length, width, and height together.

Alternative Method

You can also think of the volume formula as Volume = Area of the Base × height. First, find the area of the square base (3×3=93 \times 3 = 9 square feet). Then, multiply this base area by the height of the pillar (9×10=909 \times 10 = 90 cubic feet).
Estimated Time:45s
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Topics

Volume and Surface Area of 3D Figures

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