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Westkost [7]
3 years ago
5

What is the volume of a rectangular prism with the dimensions: base 3 1 2 cm, height 1 1 2 cm, and length 5 1 2 cm?

Mathematics
1 answer:
aleksandrvk [35]3 years ago
3 0

Answer:

The volume of a rectangular prism is 28\frac{7}{8}\ cm^{3}

Step-by-step explanation:

we know that

The volume of the rectangular prism is equal to

V=BHL

Convert the given dimensions to an improper fractions

B=3\frac{1}{2}\ cm=\frac{3*2+1}{2}=\frac{7}{2}\ cm

H=1\frac{1}{2}\ cm=\frac{1*2+1}{2}=\frac{3}{2}\ cm

L=5\frac{1}{2}\ cm=\frac{5*2+1}{2}=\frac{11}{2}\ cm

substitute in the formula

V=(\frac{7}{2})(\frac{3}{2})(\frac{11}{2})=\frac{231}{8}\ cm^{3}

Convert to mixed number

\frac{231}{8}=\frac{224}{8}+\frac{7}{8}=28\frac{7}{8}\ cm^{3}

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