Question
A cuboid has its dimensions in the ratio 2:1:3. If the
volume of the cuboid is 3072 cm³, calculate the sum of its dimensions.Solution
Let, the dimensions of the cuboid be 2x cm, x cm and 3x cm, respectively According to the question, 2x × x × 3x = 3072 Or, x3 = 3072/6 = 512 Or, x = 8 Therefore, sum of the dimensions = 2x + x + 3x = 6x = 48 cm
In each of the following number series, one term is missing. Find the missing term.
50, 45, 37, 26, 12, ?
9 28 83 250 ? 2248
What will come in place of the question mark (?) in the following series?
2, 5, 14, 41, 122, 365, ?
6400, 1600, ?, 80, 16, 4
384, 357, 313, 252, 174, ?
What will come in place of the question mark (?) in the following series?
13, 27, 57, 119, ?, 487
- What will come in place of the question mark (?) in the following series?
1, 9, 35, 91, 189, ? 15.975 ×27.825 + (76.01)² + 12.98×18.426 = ?+ (79.09)²
3, 8, 18, 33, 53, ?
What value should come in the place of (?) in the following number series?
192, 96, 96, 144, ?, 720