Math, asked by Morghak, 5 months ago


2. The ratio of the length, breadth and height of a cuboid is 5:3:2. If its volume is 3750 cm?, find the length,
breadth and height of the cuboid.
on in rectangular in shane. It is 90 cm x 60 cm. How high it must be​

Answers

Answered by jeonjk0
0

Answer:

Let the length, breadth and height of the cuboid be 5x,3x and 2x respectively.

We know that the volume of the cuboid is l×b×h.

It is given that the volume of the cuboid is 35.937 m

3

, therefore,

35.937=5x×3x×2x

⇒30x

3

=35.937

⇒x

3

=

30

35.937

=1.197

⇒x=

3

1.197

⇒x=0.33

Therefore, the length l=5x=5×0.33=1.65, breadth b=3x=3×0.33=0.99 and height h=2x=2×0.33=0.66

Now, the total surface area of cuboid is 2(lb+bh+hl), therefore, the total surface area with length 1.65 m, breadth 0.99 m and height 0.66 m is:

A=2[(1.65×0.99)+(0.99×0.66)+(0.99×1.65)]=2(1.6335+0.6534+1.089)=2×3.3759=6.7518 m

2

Hence, the dimensions of cuboid is 1.65 m, 0.99 m and 0.66 m and the total surface area of cuboid is 6.7518 m

2

.

Answered by MrsJeon01
0

Answer:

ANSWER

Let the length, breadth and height of the cuboid be 5x,3x and 2x respectively.

We know that the volume of the cuboid is l×b×h.

It is given that the volume of the cuboid is 35.937 m

3

, therefore,

35.937=5x×3x×2x

⇒30x

3

=35.937

⇒x

3

=

30

35.937

=1.197

⇒x=

3

1.197

⇒x=0.33

Therefore, the length l=5x=5×0.33=1.65, breadth b=3x=3×0.33=0.99 and height h=2x=2×0.33=0.66

Now, the total surface area of cuboid is 2(lb+bh+hl), therefore, the total surface area with length 1.65 m, breadth 0.99 m and height 0.66 m is:

A=2[(1.65×0.99)+(0.99×0.66)+(0.99×1.65)]=2(1.6335+0.6534+1.089)=2×3.3759=6.7518 m

2

Hence, the dimensions of cuboid is 1.65 m, 0.99 m and 0.66 m and the total surface area of cuboid is 6.7518 m

ur answer

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