Question

Question #048ff

Answer 1

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`