Answer:
One rectangular prism is possible with 7cm × 3cm × 4cm.
Step-by-step explanation:
Jada used number of cubes = 84
Side of one small cube = 1 cm
Volume of one small cube = 1 cm³
Volume of 84 small cubes = 84 cm³
She wants to build a rectangular prism with height = 4 cm
Let the length of the prism = x cm
and the width of the prism = y cm
and x > y
Volume of the prism = length × width × height
= (x)(y)(4)
= 4xy cm³
If the volume of prism = volume of 84 small cubes
Then 4xy = 84
xy = 21
Possible values of x = 3, 7
and y = 7, 3
But x > y
So x = 7 and y = 3 will be the answer.
Therefore, only one rectangular prism is possible with dimensions
length = 7 cm, width = 3 cm, height = 4 cm.
