Question

6. One of Mollie's favorite toys is a set of hollow rectangular plastic blocks that can be filled with water to use as bath toys. The red block has dimensions 4 1/4 inches by 6 1/4 inches by 5 1/4 inches. Which represents the volume of the red block? Select all that apply. a. 30 cubic inches b. 2,231 and 1/4 cubic inches c. 139 and 29/64 cubic inches d. 557 cubic inches e. (17/4) (25/4) (21/4) cubic inches f. 8,925/64 cubic inches

Answer 1

Option c. is correct

Explanation:

Given: The red rectangular block has dimensions
`4(1)/(4)` inches by
`6(1)/(4)` inches by
`5(1)/(4)` inches.

To find: volume of the red block

Solution:

Volume of the rectangular box = length × breadth × height

First convert
`4(1)/(4)`,
`6(1)/(4)` and
`5(1)/(4)` inches into improper fractions.

`4(1)/(4)=(17)/(4) \\6(1)/(4)=(25)/(4) \\5(1)/(4) =(21)/(4)`

So,

Volume of the rectangular box
`=4(1)/(4) (6(1)/(4))(5(1)/(4) )=(17)/(4)((25)/(4))((21)/(4) )=(8925)/(64)=139(29)/(64)` cubic inches