Find the volume and total surface area of a cube whose each edge is :

1.	Find the volume and total surface area of a cube whose each edge is : (i) 8 cm (ii) 2 m 40 cm.
Answer» (i) Edge of the given cube = 8 cm Volume of the given cube = (Edge)³ = (8)³ = 8 x 8 x 8 = 512 cm³ Total surface area of a cube = 6(Edge)² = 6 x (8)² = 384 cm² (ii) Edge of the given cube = 2 m 40 cm = 2.40 m Volume of a cube = (Edge)³ Volume of the given cube = (2.40)³ = 2.40 x 2.40 x 2.40 = 13.824 m² Total surface area of the given cube = 6 x 2.4 x 2.4 = 34.56 m²

Find the volume and total surface area of a cube whose each edge is : (i) 8 cm (ii) 2 m 40 cm.

Answer»

(i) Edge of the given cube = 8 cm

Volume of the given cube = (Edge)³ = (8)³ = 8 x 8 x 8 = 512 cm³

Total surface area of a cube = 6(Edge)² = 6 x (8)² = 384 cm²

(ii) Edge of the given cube = 2 m 40 cm = 2.40 m

Volume of a cube = (Edge)³

Volume of the given cube = (2.40)³ = 2.40 x 2.40 x 2.40 = 13.824 m²

Total surface area of the given cube = 6 x 2.4 x 2.4 = 34.56 m²