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Calculate the area and cost of carpeting a square room, the area of a square farmyard, and the volume of a cube-shaped box.
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7 stepshere are the answers and explanations for these problems:
1. a) Mrs Lehola's bedroom carpet:
Calculate the area of the square room.
The length of the room is .
The formula for the area of a square is .Calculate the total cost of the carpeting.
The cost is per .
Mrs Lehola needs to buy of carpeting, and it will cost .
1. b) Mrs Lehola's farmyard:
Calculate the area of the farmyard.
The farmyard is long and wide.
The formula for the area of a rectangle (or square) is .The area of her farm is .
2. a) Volume of the box of biscuits:
Calculate the volume of the box.
The box has a length of , a breadth of , and a height of .
The formula for the volume of a rectangular prism is .The volume of the box is .
2. b) Volume of Mr Radebe's bathroom:
Determine the side length of the cubic bathroom.
A cubic bathroom has equal length, breadth, and height. The height is given as , so the length and breadth are also .
Calculate the volume of the bathroom.
The formula for the volume of a cube is .
The volume of his bathroom is .
2. c) Length of the side of the toy dice:
Find the cube root of the volume.
The volume of the dice is . Since it's a cube, its volume is .
We need to find the side length, so we take the cube root of the volume.The length of the side of the dice is .
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