the volume of cuboid is 14580 cm cube. if its length is 36 cm and breadth is 27 cm find the height and diagonal of cuboid
Answers
Find the height:
Volume of the cuboid = Length x Breath x Height
14580 cm³ = 36 x 27 x height
14580 = 972 x height
height = 14580 ÷ 972
height = 15 cm
Find the diagonal of the base:
a² + b² = c²
c² = 36² + 27²
c² = 2025
c = √2025
c = 45 cm
Find the diagonal of the cuboid:
a² + b² = c²
c² = 45² + 15²
c² = 2250
c = √2250
c = 15√10 cm
Answer: The height is 15 cm and the diagonal of the cuboid is 15√10 cm
volume of cuboid = 14580 cm³
length = 36 cm
breadth = 27 cm
volume of cuboid = l×b×h
= 36 × 27 × h
= 36 × 27 × h = 14580
h = 14580 ÷ 36 × 27
h = 405 ÷ 27
h = 15 cm
diagonal of cuboiod
d = √l² + √b² + √h²
=√36² + √27² + √15²
= √1296 + √729 + √225
=√2250
= 47.435 ( approx )
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