If the volume of a right equilateral triangular prism is 8500 √3 dm 3 whose height is 50 cm, then find the side of its base.

Question

If the volume of a right equilateral triangular prism is 8500 √3 dm 3 whose height is 50 cm, then find the side of its base. (A) 10 √17 cm (B) 10 √17 dm (C) 20 √17 dm (D) 20 √17 cm

Tardigrade Admin · Accepted Answer

(i) Volume of prism = (Area of the base)(Height). (ii) Area of equilateral triangle =(√3 a2/4). (iii) 1 dm =10 cm.

Q. If the volume of a right equilateral triangular prism is $85003 d m^{3}$ whose height is $50 c m$ , then find the side of its base.

$1017 c m$

$1017 d m$

$2017 d m$

$2017 c m$

(i) Volume of prism $=$ (Area of the base)(Height).
(ii) Area of equilateral triangle $= \frac{3 a ^{2}}{4}$ .
(iii) $1 d m = 10 c m$ .

Q. If the volume of a right equilateral triangular prism is 85003​dm3 whose height is 50cm, then find the side of its base.

1017​cm

1017​dm

2017​dm

2017​cm