Question

Each of the following sets of dimensions represents the dimensions of a right rectangular prism. All of them have the same volume except:

Answer 1

Its A

Explanation:

i got it right

Answer 2

The set of dimensions that has a different volume than the others is:

length: 1/2; width: 10; height:
`3 \frac {1}2`

How to calculate volume of a prism

To determine which set of dimensions represents a right rectangular prism with a different volume than the others, calculate the volume for each set of dimensions and compare them.

The volume of a right rectangular prism is given by the formula: V = length * width * height.

Let's calculate the volumes for each set of dimensions:

For the dimensions: length: 1/2; width: 10; height:
`3 \frac {1}2`

V₁ = (1/2) * 10 * (7/2) = 35/2 = 17.5

For the dimensions: length: 1; width: 5; height: 7

V₂ = 1 * 5 * 7 = 35

For the dimensions: length: 2; width: 5; height:
`3 \frac {1}2`

V₃ = 2 * 5 * (7/2) = 35

For the dimensions: length: 4; width:
`2 \frac{1}2`; height:
`3 \frac {1}2`

V₄ = 4 * (5/2) * (7/2) = 35

Comparing the volumes, we can see that:

V₁ = 17.5

V₂ = V₃ = V₄ = 35

Therefore, the set of dimensions that has a different volume than the others is:

length: 1/2; width: 10; height:
`3 \frac {1}2`