10. The edges of three of the four cubes are
1 cm, 9 cm and 10 cm respectively. If the
total volume of two cubes with 9 cm edge
and 10 cm edge is equal to the volume of
the remaining two cubes, find the edge of
the remaining fourth cube.
Answers
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Step-by-step explanation:
Edge of each cube = 9 cm
(i) Length of the cuboid fonned by 4 cubes (l) = 9 x 4 = 36 cm
Breadth (b) = 9 cm and height (h) = 9 cm
(ii) Total surface area of the cuboid = 2(lb + bh + hl)
= 2 (36 x 9 + 9 x 9 + 9 x 36) cm2
= 2 (324 + 81 + 324) cm2
= 2 x 729 cm2
= 1458 cm2
(iii) Volume = l x b x h = 36 x 9 x 9 cm2 = 2916 cm3
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Answer:
"cube" (and any subsequent words) was ignored because we limit queries to 32 words.
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