1) A surface area is ....................................... a) The amount of space within the perimeter of a 2D shape b) total length around the outside of a shape c) The total area of all areas of the faces of 3D objects d) The sum of the areas of all six faces 2) A volume is ................................................ a) The amount or quantity of heaviness b) The amount of space inside the 3D object. c) a continuous area or expanse which is free, available, or unoccupied. d) the length of the path taken by an object 3) Choose the correct formula to calculate the Surface area of a Cube. a) L3 b) L x B c) 6 (L) d) L6 4) If the side length of a cube is 8 cm, calculate its surface area. a) 64cm2 b) 512cm2 c) 32cm2 d) 48cm2 5) Choose the correct formula to calculate the Volume of Rectangular Prism a) 2L + 2W + 2H b) L x W x H c) 2LW x 2WH d) L + W + H 6) Choose the correct formula to calculate the Volume of a Cube a) L3 b) L x L c) L x B x H d) L + B 7) If the side length of a cube is 5 cm, calculate its volume. a) 225cm3 b) 125cm3 c) 25cm3 d) 15cm3 8) Choose the correct formula to calculate the surface area of a Triangular prism. a) 2 (1/2 x b x h) + [ 2 (L x H) + (B x H)] b) 2LW + 2LB + 2WB c) 1/2 x b x h d) (1/2 x b x h) + (L x B) 9) Choose the correct formula to calculate the volume of a Triangular prism. a) 1/2 x b x h b) Area of the base x H c) (1/2 x b x h) + (L x B) d) L x B 10) If the sides of the Triangular prism are as follows: The base of the triangle 𝑏 = 4 cm; Height of the triangle h = 3 cm; Hypotenuse of the triangle S = 5 cm; Length of the prism H = 10 cm. Calculate the Surface area a) 140cm2 b) 132cm2 c) 152cm2 d) 12cm2 11) If the sides of the Triangular prism are as follows: The base of the triangle 𝑏 = 4 cm; Height of the triangle h = 3 cm; Hypotenuse of the triangle S = 5 cm; Length of the prism H = 10 cm. Calculate the Volume a) 60cm3 b) 100cm3 c) 75cm3 d) 115cm3 12) A rectangular prism has dimensions of H = 10 cm; W = 4 cm; L = 6 cm. Calculate its surface area. a) 60cm2 b) 248cm2 c) 240cm2 d) 160cm2 13) A rectangular prism has dimensions of H = 10 cm; W = 4 cm; L = 6 cm. Calculate its Volume a) 248cm3 b) 100cm3 c) 208cm3 d) 240cm3 14) Choose the correct formula to calculate the Surface area of the cylinder. a) 2ℼr2 + (2ℼr x S) b) ℼr2 + W x S c) ℼr2 d) 2ℼD 15) Choose the correct formula to calculate the Volume of the cylinder. a) ℼr2 x L x W b) 2LW + 2ℼr2 c) ℼr2 d) ℼr2 x h 16) A cylinder has a radius of 5 cm and a height of 12 cm. Calculate its surface area. a) 408.407045 b) 471.238898 c) 534.0707511 d) 282.7433388 17) A cylinder has a radius of 5 cm and a height of 12 cm. Calculate its Volume. a) 942.4777961 b) 785.3981634 c) 282.74333 d) 339.2920066

Mathematics Grade 9 ~ Surface areas and Volumes of 3D objects

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