A rectangular pit $1.4 m$ long, $90 c m$ broad and $70 c m$ deep was dug and $1000$ bricks were made from the earth dug out. Find the volume of one brick.

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Solution

STEP 1 : Given
Length of the rectangular pit (l) $= 1.4 m = 1.4 \times 100 = 140 c m$
Breadth of the rectangular pit (b) $= 90 c m$
Height of the rectangular pit (h) $= 70 c m$
Number of bricks made from the earth dug out $= 1000$
STEP 2 : Finding the volume of earth dug from the rectangular pit
Volume of earth dug from the rectangular pit $= l \times b \times h$
Volume of earth dug from the rectangular pit $= 140 \times 90 \times 70 = 8, 82, 000 c m^{3}$
STEP 3 : Finding the volume of one brick
Volume of one brick $= \frac{V o l u m e o f e a r t h d u g o u t}{N u m b e r o f b r i c k s}$
Volume of one brick $= \frac{8, 82, 000}{1000} = 882 c m^{3}$
Hence, the volume of one brick is $882 c m^{3}$

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A rectangular pit 1.4m long, 90cm broad and 70cm deep was dug and 1000 bricks were made from the earth dug out. Find the volume of one brick.

A rectangular pit $1.4 m$ long, $90 c m$ broad and $70 c m$ deep was dug and $1000$ bricks were made from the earth dug out. Find the volume of one brick.