Question

Suma bought a rectangular shape bar soap of length 40cm breadth 8cm and height 4cm a) What is the volume of soap suma bought? b)Lathika bought a bar soap of length 15cm and breadth 8cm and volume is equal too volume of suma's soap. what is the volume of soap lathika bought? c) How much is the height of soap lathika bought?​

Answer 1

Step-by-step explanation:

the answer is in the picture

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Answer 2

Given:

• Dimensions of soap bar bought by Suma = 40 cm×8 cm×4 cm
• Dimensions of soap bar bought by Lathika = 15 cm×8 cm× height
• Volume of the soap bought by Lathika is equal to the volume of the soap bought by Suma.

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To find:

• Volume of Suma's soap.
• Volume of Lathika's soap.
• Height of Lathika's soap.

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Solution:

Volume of Suma's soap:

As the dimensions of the soap are different, hence it's a cuboid.

$\boxed {\mathfrak {\green {Volume\ of\ cuboid = length \times breadth \times height}}}$

Volume of soap = 40×8×4 cm³

Volume of soap = 1,280 cm³

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Volume of Lathika's soap:

Volume of Suma's soap = Volume of Lathika's soap$\:$$\:$[GIVEN]

Volume of Lathika's soap = 1,280 cm³

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Height of Lathika's soap:

Using the formula,

$\boxed {\mathfrak {\green {Volume\ of\ cuboid = length \times breadth \times height}}}$

Let the height be h.

1,280 = 15×8×h

1,280 = 120h

$\sf \dfrac {1,280}{120}$ = h

10.6 cm = height

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Answers:

• Volume of Suma's soap is 1,280 cm³
• Volume of Lathika's soap is 1,280 cm³
• Height of Lathika's soap is 10.6 cm