Question

Which of the following rectangular prisms has a base area of 40 cm2 and a volume of 160 cm3?

Answer 1

Select one:
a. Height = 10 cm, base length = 4 cm, base width = 4 cm
b. Height = 2 cm, base length = 10 cm, base width = 4 cm
c. Height = 4 cm, base length = 10 cm, base width = 4 cm
d. Height = 4 cm, base length = 4 cm, base width = 4 cm

Answer 2

Base area would be \(\large length \times width\) .

Answer 3

Volume is calculated by \(\large \text{Length} \times \text{Width} \times \text{Height}\)

Answer 4

Which one do you think will be the answer, given the formulas above?

Answer 5

Length x Width

Answer 6

That's not an answer choice, I hope you know.

Answer 7

Yeah i think its A though

Answer 8

Check this:

length = 4
width = 4

is \(4 \times 4\) equal to the base area of \(40 cm^2\)

Answer 9

I thought it was 4x10= 40 And then 4x4=16 , 16x10=160

Answer 10

Not really, you must remember to understand what each measurement really represents. So you must look closely in this case.

Answer 11

Height = 10 cm, base length = 4 cm, base width = 4 cm

Notice that only the \(\large \text{Height}\) is \(\large 10 cm\). The \(\large \text{Base Length}\) is \(\large 4 cm\). The \(\large \text{Base Length}\) is \(\large 4 cm\). So you MUST watch out!

Answer 12

So then its C

Answer 13

Correct!

Answer 14

Thanks for the help

Answer 15

You're welcome :)