The volume of a solid right circular cone is 600 π cm³, and the diameter of its base is 30 cm. The total surface area (in cm²) of the cone is:

A square and an equilateral triangle are of the same perimeter. If the diagonal of the square is $$ {12\sqrt{2}}$$ cm long, then the area of the triangle is.

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:

If the ratio of the areas of two similar triangle ABC and DEF is 36:81 and EF = 6.9 cm., then BC is equal to –

The ratio of the sides of a triangle is 3: 4: a and the area of this triangle is 216 square cm. And the perimeter of this triangle is 72 cm. Then the value of a will be -

If the height and the radius of the base of a cone are both doubled, the volume of the cone becomes _______ of its previous volume.

The volume of a prism is 288cm³ and height is 24cm. The area of the base of the prism (cm²) is:

The areas of the three adjacent faces of a cuboid are 32 cm², 24 cm² and 48cm². What is the volume of the cuboid?