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Jobisdone [24]
3 years ago
11

The bench below is a rectangular prism on top of two cubes. The total height of the bench is

Mathematics
1 answer:
Solnce55 [7]3 years ago
7 0

Question:

The image of the question is attached below.

Answer:

Volume of the bench = 528 cubic inches

Solution:

Side of the cube = 4 inch

Volume of a cube = side × side × side

                              = 4 inch × 4 inch × 4 inch

Volume of a cube = 64 cubic inches

Volume of 2 cubes = 2 × 64 cubic inches

Volume of 2 cubes = 128 cubic inches

Length of the prism = 25 inch

Breadth of the prism = 4 inch

Height of the prism = 8 – 4 = 4 inch

Volume of the rectangular prism = length × breadth × height

                                                       = 25 inch × 4 inch × 4 inch

Volume of the rectangular prism = 400 cubic inches

Volume of the bench = volume of 2 cube + volume of the rectangular prism

                                    = 128 cubic inches + 400 cubic inches

Volume of the bench = 528 cubic inches

Hence volume of the bench is 528 cubic inches.

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