Question

The length, width, and height of a rectangular prism is a, (a-13), and (a+13) respectively, which statement best describes (a-13)
pls help

a. the width of the rectangular prism is 13 units less than the length
b. the height of the rectangular prism is 13 units more than the lenght
c. the width of the rectangular prism is 13 units less than the height
d. the length of the rectangular prism is 13 units less than the weight

Answer 1

Option A

The width of the rectangular prism is 13 units less than the length

Solution:

Given that, the length, width, and height of a rectangular prism is a, (a-13), and (a+13) respectively

From given question,

Length of rectangular prism = a

Width of rectangular prism = a - 13

Height of rectangular prism = a + 13

We have to find which statement best describes (a - 13)

From given (a - 13) means Width of rectangular prism

Therefore,

Width of rectangular prism = (a - 13)

We know that from given "a" denotes Length of rectangular prism

So we get,

Width of rectangular prism = (Length of rectangular prism - 13)

So the above expression means that width is 13 units less than length

So option A is correct. The width of the rectangular prism is 13 units less than the length

Let us also analyse the options one by one

a.) the width of the rectangular prism is 13 units less than the length

Which is written mathematically as,

width = length - 13 = a - 13

So this option is correct

b. the height of the rectangular prism is 13 units more than the length

Which is written mathematically as,

height = 13 + length = 13 + a

So this option does not describes (a - 13)

c. the width of the rectangular prism is 13 units less than the height

Which is written mathematically as,

width = height - 13 = a + 13 - 13 = a

So this option does not describes (a - 13)

d. the length of the rectangular prism is 13 units less than the height

Which is written mathematically as,

length = height - 13 = a + 13 - 13 = a

So this option does not describes (a - 13)