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

Answer:

Option c. is correct

Step-by-step explanation:

Given: The red rectangular block has dimensions $4\frac{1}{4}$ inches by $6\frac{1}{4}$ inches by $5\frac{1}{4}$ inches.

To find: volume of the red block

Solution:

Volume of the rectangular box = length × breadth × height

First convert $4\frac{1}{4}$, $6\frac{1}{4}$ and $5\frac{1}{4}$ inches into improper fractions.

$4\frac{1}{4}=\frac{17}{4} \\6\frac{1}{4}=\frac{25}{4} \\5\frac{1}{4} =\frac{21}{4}$

So,

Volume of the rectangular box $=4\frac{1}{4} (6\frac{1}{4})(5\frac{1}{4} )=\frac{17}{4}(\frac{25}{4})(\frac{21}{4} )=\frac{8925}{64}=139\frac{29}{64}$ cubic inches