Question

Alex has two designs to build a chest. In each design, the chest is a rectangular prism.

Chest A has dimensions of 5 feet ×3 feet ×214 feet
5

feet

×
3

feet

×
2
1
4

feet
.

Chest B has dimensions of 4 feet ×312 feet ×3 feet
4

feet

×
3
1
2

feet

×
3

feet
.

Part A

How much space does each chest hold? Include units in your answers.

Answer 1

See below ~

Explanation:

Chest A

• V = 5 x 3 x 214
• V = 1070 x 3
• V = 3,210 ft³

Chest B

• V = 4 x 3 x 312
• V = 1248 x 3
• V = 3,744 ft³

⇒ Chest B has more space than Chest A

⇒ Hope it helps ~

Answer 2

We need volumes

#Chest A

V=LBH

• 5(3)(214)
• 3210ft³

#Chest B

V:-

• 4(312)(3)
• 3744ft³