Question

A cuboid having a square base has 448 cm3 volume. If its height is 7 cm, find each of the following; A:The side of the square; B:The total surface area

Answer 1

Answer:

TSA= 152.72 Cm squared

Step-by-step explanation:

Volume of the

cylinder = pi × r^2 × h----( 2 )

_____________________________

Put the values in ( 2 )

pi × r^2 × h = 448 / pi

pi × r^2 × 7 = 448/ pi

r^2 = ( 448 ) / ( pi × pi × 7 )

r^2 = 64 / ( pi × pi )

Therefore ,

r^2 = ( 8 / pi )^2

r = 8/ pi cm

Total surface area ( TSA )

= 2 × pi × r ( r + h )

= 2 × pi × 8/ pi ( 8/ pi + 7 )

= 2 × 8 [ ( 8 × 7)/ 22 + 7 ]

= 16 ( 28 / 11 + 7 )

= 16 ( 28 + 77 )/ 11

= ( 16 × 105 )/ 11

= 1680/11

= 152. 72 cm^2

I hope this helps you.