MATH SOLVE

4 months ago

Q:
# which phrase best describes a figure with dimensions of 2 units by 2 units by 4 units and a volume of 16 cubic units

Accepted Solution

A:

we know that

A figure with dimensions of 2 units by 2 units by 4 units and a volume of 16 cubic units is a prism with a square base

length side of the square base=2 units

height of the prism=4 units

[volume of a prism]=2*2*4---->16 units³

or

is a prism with a rectangular base

length side of the rectangle base=4 units

width side of the rectangle base=2 units

height of the prism=2 units

[volume of a prism]=4*2*2---->16 units³

therefore

if the volume is 16 units ³ that means

the solid figure can be filled with 16 cubes that each measure 1 cubic unit

so

the volume of one cube is------> 1*1*1------> 1 unit³

volume of 16 cubes-----> 16*1 unit³------> 16 unit³

the answer is

the option A

A figure with dimensions of 2 units by 2 units by 4 units and a volume of 16 cubic units is a prism with a square base

length side of the square base=2 units

height of the prism=4 units

[volume of a prism]=2*2*4---->16 units³

or

is a prism with a rectangular base

length side of the rectangle base=4 units

width side of the rectangle base=2 units

height of the prism=2 units

[volume of a prism]=4*2*2---->16 units³

therefore

if the volume is 16 units ³ that means

the solid figure can be filled with 16 cubes that each measure 1 cubic unit

so

the volume of one cube is------> 1*1*1------> 1 unit³

volume of 16 cubes-----> 16*1 unit³------> 16 unit³

the answer is

the option A