Question #048ff

1 Answer
Feb 22, 2018

Hence, theWhole surface area is

124+550+124=798cm^2

Volume = Area of the base x height

V=124xx12.5=1550cm^3

Explanation:

1)
The base can be considered a a combination of
A square of side 10 cm
A triangle with base as 6 cm and altitude as 8 cm.
sqrt(6^2+8^2)=10
Thus, the area of the top face = area of bottom face =
"Area of square " + "Area of "right angle triangle"
Area of square = 10xx10=100cm^2
"Area of "right angle triangle = 1/2xx6xx8=1/2xx48=24

Area of top face = 100+24=124cm^2

Area of bottom face = 100+24=124cm^2

Perimeter = 10+10+10+6+8=30+14=44cm

Height = 12.5 cm

Area of the lateral surface=Perimeter x Height

Area of the lateral surface=44xx12.5=550cm^2

Hence, the total area is

124+550+124=798cm^2

Volume = Area of the base x height

V=124xx12.5=1550cm^3