The surface area of a cubical box is 2166 square cm. Find it's volume. (A) 5689cm³ (B) 8569cm³ (C) 6859cm³ (D) None of these. please answer asap and with step by step explaination.
Answers
Answer:
C) 6859 cm³ is the correct answer
Step-by-step explanation:
Total surface area of a cube = 6a²
Where, a = side of cube
Given,
Total surface area of a cube = 2166 cm²
⇒ 2166 = 6a²
⇒ a² = 2166/6
⇒ a² = 361
⇒ a = √361
⇒ a = 19
Volume of a cube = a³
Volume of a cube = 193 = 6859
∴ volume of a cube is 6859 cm³
Answer:The correct answer is (C) 6859cm³
Step-by-step explanation:
Given, the surface area of a cubical box is 2166 square cm.
Let, the side of the cubical box is y cm.
Then, the total surface area = 6y² cm²
Now, 6y² = 2166
⇒ y² = 361
⇒ y = √361
⇒ y = 19
∴The side of the cubical box is 19 cm.
∴The volume of the cubical box = (side)³ cm³
= 19³ cm³
= 6859 cm³ (C)