Find the TSA and LSA of the cube whose sides is (i)8m (ii) 21cm (iii)7.5 cm.
Answers
(i)
The measurement of side of the cube = 8 meters
The Formula Used To Calculate The TSA Of A Cube:
= 6a^2
Substituting the side measurement in this formula we get:
= 6 x 8 x 8
= 48 x 8
= 384 m^2
Therefore, the TSA of the cube is 384 m^2.
The formula used to calculate the LSA of a cube:
= 4a^2
Substituting the side measurement in this formula we get:
= 4 x 8 x 8
= 64 x 4
= 256 m^2
Therefore, the lateral surface area of the cube is 256 m^2.
(ii)
The side measurement of the cube = 21 cm
Substituting the value of side measurement in the formula to find the TSA of a cube:
= 6 x 21 x 21
= 126 x 21
= 2646 cm^2
Therefore, the total surface area of the cube is 2646 cm^2.
Substituting the values of side measurement in the formula to find the LSA of a cube:
= 4 x 21 x 21
= 84 x 21
= 1764 cm^2
Therefore, the lateral surface area of the cube is 1764 cm^2.
(iii)
The side measurement of the cube = 7.5 cm
Substituting the values of side measurement in the formula to find the LSA of a cube:
= 4 x 7.5 x 7.5
= 30 x 7.5
= 225 cm^2
Therefore, the lateral surface area of the cube is 225 cm^2.
Substituting the values of side measurement in the formula to find the total surface area of the cube:
= 6 x 7.5 x 7.5
= 45 x 7.5
= 337.5 cm^2
Therefore, the total surface area of the cube is 225 cm^2.