Two tanks are of the same capacity. The dimension of the first tank are 12 multiply 8 multiply 4.the second tank has a square base with depth 6cm. Find the side of the square
Answers
Answer:8
Step-by-step explanation:
Capacity of tank 1=capacity of tank 2
12*8*4=6*a^2
a^2=64
a=8
i.e.side=8
Answer:
Side of the square = 8 cm
Step-by-step explanation:
Given data
Two tanks have same capacity
[ capacity is nothing but volume of the tank ]
The dimensions of first tank = 12 x 8 x 4 cm
⇒ capacity (volume) of the tank = 12×8×4 = 384 cm³
the second tank has a square base with 6 cm depth
⇒ as the base of the tank is square the length and width of the tank will be same ( which are the sides of the square )
⇒ Let s be the side of the square
⇒ capacity of the tank = s × s × 6 [ depth of the tank = 6 cm]
= 6s²
⇒ we know that both tanks have same capacity
⇒ 6s² = 384
⇒ s² = 64 = 8²
⇒ s = 8 cm