Math Problem Statement

The diagram shows a wooden rectangular cuboid with a circular hole of diameter 7 cm drilled through the centre. The dimensions of the cuboid are 40 cm by 15 cm by 12 cm. Find (a) the volume of the solid, (b) the total surface area of the solid. 〈Take pi = 22/7)

Solution

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume
Surface Area

Formulas

Volume of a cuboid: V = l × w × h
Surface area of a cuboid: SA = 2lw + 2lh + 2wh
Area of a circle: A = πr^2

Theorems

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Suitable Grade Level

Grades 7-9