Question

the whole surface area of rectangle block is 1300 CM square find its volume if the dimension are in the ratio 4 : 3 :2

Answer 1

Solutions :-

Given :

Total surface area of rectangle block = 1300 cm²

Ratio of dimensions of block = 4 : 3 : 2

Let the length (l) , breadth (b) and height (h) of the rectangular box be 4x, 3x and 2x, respectively.

We know,

Total surface area = 2(lb + bh + lh)

A/q

=> 2(4x × 3x + 3x × 2x + 4x × 2x) = 1300

=> 2(12x² + 6x² + 8x²) = 1300

=> 2 × 26x² = 1300

=> 52x² = 1300

=> x² = 1300/52

=> x² = 25

=> x = √25 = 5

Therefore,

Length = 4x = 4×5 = 20 cm

Breadth = 3x = 3×5 = 15 cm

Height = 2x = 2×5 = 10 cm

Now,

Find the volume of rectangle block :-

Volume of cuboid = lbh cubic unit

= (20 × 15 × 10) cm³

= 3000 cm³

Hence,

Volume of rectangle block is 3000 cm³

Answer 2

here is your answer OK.....

«Here is the answer:

«Let the dimensions be 4x, 3x and 2x.

«Total surface area = 2(lb+bh+hl) = 1300 sq cm.
2(12x2+6x2+8x2) = 1300⇒x2 = 25⇒x=5
Hence the dimensions are 20 cm, 15 cm and 10 cm.

«Volume = lbh = 20×10×15 = 3000 cm3