Question

The perimeters of the three marked rectangles of this
cuboid are as follows:
Rectangle A - 14 cm
Rectangle B - 18 cm
Rectangle C - 20 cm
Find the I, band h of the cuboid. Then find its volume.
Length=6cm
Breath=4cm
Height=3cm
Volume=72 cu.cm

Answer 1

Answer:

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Explanation:

Answer 2

Explanation:

Given The perimeters of the three marked rectangles of this cuboid are as follows:

Rectangle A - 14 cm

Rectangle B - 18 cm

Rectangle C - 20 cm

Find the I, band h of the cuboid. Then find its volume.

Length=6cm

Breath=4cm

Height=3cm

• So a cuboid has 3 sides It has 12 edges. So it has 6 faces. In that 6 faces there are 6 rectangles.
• So let the unique edges be A,B and C.
• Also perimeter of a rectangle is 2(l + b)
• Now 2A + 2B = 14
•         2A + 2C = 18
•        2B + 2C = 20
• So we get
•         A + B = 7
•         A + C = 9
•         B + C = 10
•   A + C = 9
•     C = 9 – A
•        Substituting in B + C = 10 we get
•            B + C = 10
•           B + 9 - A = 10
•            B - A = 1
•     B + A = 7
•    B - A = 1
•  ------------------
•     2B = 8
•     B = 4
•                    Now A + B = 7
•                            A + 4 = 7
•                             A = 3
•                  Now A + C = 9
•                           3 + C = 9
•                              C = 6
• So we have length = 6 cm, breadth = 4 cm height = 3 cm
• Now Volume = length x breadth x height
•                       = 6 x 4 x 3
•               Volume = 72 cu cm

Reference link will be

https://brainly.in/question/36115424