In the figure given below, AD bisects ∠BAC. If the area of ΔABD=40 cm² and AC=3AB, then the area of ΔABC:

A cuboidal block of 6 cm × 9 cm ×12 cm is cut into exact number of equal cubes. The least possible number of cubes will be:

An iron pipe 20 cm long has exterior diameter 25 cm. If the thickness of the pipe is 1 cm, then the whole surface area of the pipe?

How much parts of the pits, which are 48 meters long, 16.5 meters wide and 4 meters deep, can be filled in the soil, which is obtained by cylindrical tunnel of 4 meters diameter and 56 meters long?

Two 6 cm diameter balls dipped in a 6 cm radius cylindrical vessel of water. Find the height of water in the vessel?

The perimeter of a rectangle and equilateral triangle is equal. One side of the rectangle is also equal to the side of the triangle. Find the ratio of the areas of the rectangle and triangle?

The bisector of ∠B in ΔABC meets AC at D. If AB=10 cm and BC=11 cm and AC=14 cm, then the length of AD is:

The base of a right prism is a tringle with sides 20 cm, 21 cm and 29 cm. If its volume is 7560 cm³, then its lateral surface area ( in cm²) is: