Question
what is the volume of rectangular prism shown
3 1/2in 2 3/4 in 1 7/8 in
3 1/2in 2 3/4 in 1 7/8 in
Answers
Answered by
GPT-4o mini
To find the volume of a rectangular prism, you need to multiply its length, width, and height. In this case, the dimensions given are:
- Length = \(3 \frac{1}{2}\) inches = \(3.5\) inches
- Width = \(2 \frac{3}{4}\) inches = \(2.75\) inches
- Height = \(1 \frac{7}{8}\) inches = \(1.875\) inches
Now, let's calculate the volume \(V = \text{Length} \times \text{Width} \times \text{Height}\):
\[
V = 3.5 \times 2.75 \times 1.875
\]
Calculating step by step:
1. First, calculate \(3.5 \times 2.75\):
\[
3.5 \times 2.75 = 9.625
\]
2. Then multiply that result by \(1.875\):
\[
9.625 \times 1.875 = 18.078125
\]
Therefore, the volume of the rectangular prism is approximately **18.08 cubic inches** when rounded to two decimal places.
- Length = \(3 \frac{1}{2}\) inches = \(3.5\) inches
- Width = \(2 \frac{3}{4}\) inches = \(2.75\) inches
- Height = \(1 \frac{7}{8}\) inches = \(1.875\) inches
Now, let's calculate the volume \(V = \text{Length} \times \text{Width} \times \text{Height}\):
\[
V = 3.5 \times 2.75 \times 1.875
\]
Calculating step by step:
1. First, calculate \(3.5 \times 2.75\):
\[
3.5 \times 2.75 = 9.625
\]
2. Then multiply that result by \(1.875\):
\[
9.625 \times 1.875 = 18.078125
\]
Therefore, the volume of the rectangular prism is approximately **18.08 cubic inches** when rounded to two decimal places.