Rosy received a box in the mail. The box is 5 cm longer than it is wide, and the height is 4 cm more than the width. a) Write an expression for the length of the box. [1] b) Write an expression for the height of the box. [1] c) The area of the box is . Write an expression for the Area of the base of the A = L×Wbox in terms of . x[1] d) The volume of the box is given by the formula . Write an expression for V = L×W ×Hthe volume of the box in terms of x.
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Answer:
The dimensions of match box are 4 cm×2.5 cm×1.5 cm
∴ length =4 cm
breadth =2.5 cm
height =1.5 cm
Now,
Volume of = length × breadth × height
One match box =4 cm×2.5 cm×1.5 cm
=15 cm
3
∴ Volume of one match box =15 cm
3
⇒ Volume of 12 match boxes +12× Volume of one match box
=12×15 cm
3
=180 cm
3
∴ Volume of packet containing 12 match boxes =180 cm
3
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