FIND the volume of rectangular boxes with the following length,breadth and height respectively.
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Answer:
FIND the volume of rectangular boxes with the following length,breadth and height respectively.
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Answer:
(i) 105a⁷b⁴
(ii) 64p²q³r
Step-by-step explanation:
volume of cuboid (rectangular box) = lbh
(i) given,
l = 5ab
b = 3a²b
h = 7a⁴b²
volume = lbh
= 5ab × 3a²b × 7a⁴b²
= 5×a×b×3×a×a×b×7×a×a×a×a×b×b
= 5×3×7×a×a×a×a×a×a×a×b×b×b×b
= 105×a⁷×b⁴
= 105a⁷b⁴
(ii) given,
l = 2pq
b = 4q²
h = 8rp
volume = lbh
= 2pq×4q²×8rp
= 2×p×q×4×q×q×8×r×p
= 2×4×8×p×p×q×q×q×r
= 64×p²×q³×r
= 64p²q³r
hope it helps.
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