Section E Section E Checkpoint

Problem 1

A square has a side length of 15 centimeters. 

Select all expressions that represent the area of the square in square centimeters:

A
15315^3
B
15⋅1515 \boldcdot 15
C
15+1515 + 15
D
15⋅215 \boldcdot 2
E
15215^2
Show Solution
Solution
B, E
Show Sample Response
Sample Response
B, E

Problem 2

A cube has a volume of 232^3 cubic inches. 

Select all statements that are true about the cube:

A
The volume of the cube is 8 cubic inches.
B
The edge length of the cube is 3 inches.
C
The expression 3⋅23 \boldcdot 2 also represents its volume in cubic inches.
D
The edge length of the cube is 2 inches.
E

The volume of the cube is 6 cubic inches.

Show Solution
Solution
A, D
Show Sample Response
Sample Response
A, D

Problem 3

A cube has an edge length of 47 units. Write an expression to represent its surface area in square units.
Show Solution
Solution

Sample responses:

  • $6 \boldcdot 47^2$
  • $6 \boldcdot (47 \boldcdot 47)$
  • $47^2 + 47^2 + 47^2 + 47^2 + 47^2 + 47^2$
  • $(47 \boldcdot 47) + (47 \boldcdot 47) + (47 \boldcdot 47) + (47 \boldcdot 47) + (47 \boldcdot 47) + (47 \boldcdot 47)$
Show Sample Response
Sample Response

Sample responses:

  • $6 \boldcdot 47^2$
  • $6 \boldcdot (47 \boldcdot 47)$
  • $47^2 + 47^2 + 47^2 + 47^2 + 47^2 + 47^2$
  • $(47 \boldcdot 47) + (47 \boldcdot 47) + (47 \boldcdot 47) + (47 \boldcdot 47) + (47 \boldcdot 47) + (47 \boldcdot 47)$