Question

Find the lateral surface area and total surface area and volume of a rectangular
solld of length=30m, breadth=8m and height =20cm​

Answer 1

Question :

Find the lateral surface area and total surface area and volume of a rectangular solid of length=30m, breadth=8m and height =20cm .

Answer :

$\sf\pink{Given:}$

• length of rectangular solid is 30 m.

• breadth of rectangular solid is 8 m.

• height of rectangular solid is 20 cm.

$\sf\pink{To\:find:}$

• lateral surface area ?

• total surface area ?

• volume ?

Explanation :

1 m = 100 cm.

20 cm = 0.2 m

$\sf\red{Lateral\: surface\:area = 2( l + b )h}$

$\longrightarrow\sf{ 2\times ( 30 + 8 )\times 0.2 }$

$\longrightarrow\sf{ 2\times 38\times 0.2 }$

$\longrightarrow\sf{ 76\times 0.2 }$

$\longrightarrow\sf{ 15.2 }$

• Therefore the lateral surface area is 15.2 m²

$\sf\red{Total\: surface\:area = 2( lb + bh + hl)}$

$\longrightarrow\sf{ 2\times ( 30\times 8 + 8\times 0.2 + 0.2\times 30) }$

$\longrightarrow\sf{ 2\times ( 240 + 1.6 + 6 ) }$

$\longrightarrow\sf{ 2\times 247.6}$

$\longrightarrow\sf{ 495.2}$

• Therefore the total surface area is 495.2 m²

$\sf\red{Volume = l\times b\times h}$

$\longrightarrow\sf{ 30\times 8\times 0.2}$

$\longrightarrow\sf{ 240\times 0.2}$

$\longrightarrow\sf{ 48}$

• Therefore the volume is 48 m³ .