Calculate the area and cost of carpeting a square room, the area of a square farmyard, and the volume of a cube-shaped box.

You're on a roll — here are the answers and explanations for these problems: 1. a) Mrs Lehola's bedroom carpet: Step 1: Calculate the area of the square room. The length of the room is 5 m. The formula for the area of a square is Area = length^2. Area = (5 m)^2 = 25 m^2 Step 2: Calculate the total cost of the carpeting. The cost is R70 per m^2. Total Cost = 25 m^2 × R70/m^2 = R1750 Mrs Lehola needs to buy 25 m^2 of carpeting, and it will cost R1750. 1. b) Mrs Lehola's farmyard: Step 1: Calculate the area of the farmyard. The farmyard is 600 m long and 600 m wide. The formula for the area of a rectangle (or square) is Area = length × width. Area = 600 m × 600 m = 360000 m^2 The area of her farm is 360000 m^2. 2. a) Volume of the box of biscuits: Step 1: Calculate the volume of the box. The box has a length of 10 cm, a breadth of 10 cm, and a height of 10 cm. The formula for the volume of a rectangular prism is Volume = length × breadth × height. Volume = 10 cm × 10 cm × 10 cm = 1000 cm^3 The volume of the box is 1000 cm^3. 2. b) Volume of Mr Radebe's bathroom: Step 1: Determine the side length of the cubic bathroom. A cubic bathroom has equal length, breadth, and height. The height is given as 3 m, so the length and breadth are also 3 m. Step 2: Calculate the volume of the bathroom. The formula for the volume of a cube is Volume = side^3. Volume = (3 m)^3 = 3 m × 3 m × 3 m = 27 m^3 The volume of his bathroom is 27 m^3. 2. c) Length of the side of the toy dice: Step 1: Find the cube root of the volume. The volume of the dice is 216 cm^3. Since it's a cube, its volume is side^3. We need to find the side length, so we take the cube root of the volume. side^3 = 216 cm^3 side = [3]216 cm^3 side = 6 cm The length of the side of the dice is 6 cm. Got more? Send 'em!