a. Calculate the volume of this rectangular block? b. When the volume is doubled in the above block, what will be the possible measures of length, breadth and height? Write one example. c. How many rectangular blocks of the above vol ume are needed to make a rectangular block having one cubic metre? a. Volume of the rectangular block = 20 x10 x 5
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Answer:
Given:
Dimensions of the Rectangular block are (l, b, h) = (3, 2, 1).
Length of an edge of the cube-shaped box = 6.
To find the maximum number of such rectangular blocks that can be packed into the above cube-shaped box;
Let
′
n
′
be the maximum number of rectangular blocks.
Volume of
′
n
′
rectangular blocks = n ×l × b × h.
= n ×3 × 2 × 1
= 6 × n
Volume of the above cube of side (s=6) = s
3
= 6
3
Equating the volume of the above, we get
6 × n = 6
3
⇒n = 6
2
⇒n = 36
Therefore, maximum number of such rectangular blocks that can be packed into the above cube-shaped box is
′
36
′
.