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zzz [600]
3 years ago
12

How can you find the volume of a rectangular prism

Mathematics
2 answers:
soldi70 [24.7K]3 years ago
6 0
Use the equation V = Bh. B stands for base, meaning finding the area of one of the bases. If it makes it easier, the volume also = lwh which is just length x width x height. 
Law Incorporation [45]3 years ago
6 0
Just use the formula width x base x height. You're just basically measuring a 3 dimensional shape instead of a 2 dimensional one.


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Please help!! 10 points.
TiliK225 [7]

Answer:

\boxed{ \text{1. 59.44 in}^{2} \text{;  2. 352.7 in}^{2} \text{; 3. 471.6 in}^{2}}

Step-by-step explanation:

1. Area of base

The radius given is that of the circumcircle.

The general formula for the edge length a  of a regular polygon is

a = 2Rsin(π/n)

So,

a = 2 × 5 × sin(π/5) = 10sin0.6283 = 10 × 0.5878 = 5.878 in

The general formula for the area of a regular polygon is

A = ¼na²cot(π/n)

So,

A = ¼ × 5 × 5.878²cot(π/5) = ¼ × 5 × 5.878² × 1.376 = 59.44 in²

2. Lateral area

The general formula for the lateral area L of regular prism is

L = nah

So,

L = 5 × 5.878 × 12 = 352.7 in²

3. Total area

Total surface area = lateral area + 2×base area

S = L + 2B = 352.7 + 2 × 59.44 = 471.6 in²

\boxed{ \text{B = 59.44 in}^{2} \text{; L = 352.7 in}^{2} \text{; S = 471.6 in}^{2}}

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