1. One dimension of a cube is increased by 1 inch to form a rectangular block. Suppose that the volume of the new block is 150 cubic inches. Find the length of an edge of the original cube.
2. The dimensions of a rectangular metal box are 3 cm, 5 cm, and 8 cm. If the first two dimensions are increased by the same number of centimetres, while the third dimension remains the same, the new volume is 34 cm more than the original volume. What is the new dimension of the enlarged rectangular metal box?
3. The diagonal of a rectangle is 8 m longer than its shorter side. If the area of the rectangle is 60 m, find its dimensions.
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Answer:
Note: in number 3 the area of rectangles = Length x breadth = 60 m²
Diagonal length = x+8
Breadth = 2
Length = 64+16x