Question

A room has dimensions of 10.0 ft × 20.0 ft × 8.00 ft. Given that there are three feet in a yard, what is the volume of the room in yd

Answer 1

SOLUTION - GIVEN - Room dimensions are 10.0 ft × 20.0 ft × 8.00ft

                                  1 yard = 3 feet

FIND OUT - Volume  of a room in yard

TO PROOF -  FORMULA

                     Volume of a cuboid = length × breadth × height

                       here   length =  10.0ft

                                  breadth =20.0ft

                                  height = 8.00ft

                        volume of the room =   10.0 ft × 20.0 ft × 8.00 ft

                                                         =  1600 ft^3

                        1 yard = 3 ft

                         1 ft = 1/3 yard

                        volume of  a room in yard =( 1600 ×1/3 ×1/3×1/3 ) yard^3

                                                                   = 59.26 yard^3 (approx)

Answer 2

The volume of the room is 59.26 cubic yards.

Given

The length of the room is 10 feet.

The height of the room is 20 feet.

The breadth of the room is 8 feet.

What is the volume of the room?

The volume of the room is given by the product of height, breadth, and length of the room.

Then

$\rm \text{The volume of the room}=Length \times breaadth \times height\\\\\text{The volume of the room}=10\times 20\times 8\\\\\text{The volume of the room}= 1600\ cubic \ feet\\\\Here, \ \rm 1 yard =3 \ feet \\\\ 1 ft = \dfrac{1}{3} yard\\\\1600 \ cubic \ feet=1600 \times \dfrac{1}{3}\times \dfrac{1}{3}\times \dfrac{1}{3}\\\\1600\ cubic \ feet= 59.26\ cubic\ yard$

Hence, the volume of the room is 59.26 cubic yards.

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