Geometry Answers

FXY equals six, YZ equals four and XZ equals to which point is between the other two

A dart hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular region. Each side of the dartboard is 7in, and the radius of the shaded region is 3in.

Find the component form of the vector that translates a(3,-2) to a(-1,4)

an ornament is being packaged into a cube shaped box. The edge of each face of the cube is 14cm long. how many packaging material would be required to store 10 of these ornaments

Omar has $350 to spend on the garden he is designing. The triangle stones cost $20 each, and the border pieces co $5 to make. How long a path can Omar afford to make?

The government has policy to make a highway as soon as possible. So, the constructor used the heavy machine instead of using man labour. A machine operator dug out a field in the shape of circular having radius 3 m and some depth 10 m. answer the following question.
A. When the machine operator dug out the field in the given dimension , the three dimensional shape of the digging area is ?
B. Find the volume of the soil .
C. How much cover area of the field dug out ?
D. Find the total inner surface area of the digging field.
E. If the cost of digging out of 1 cubic metre field is Rs 50 . find the total cost of complete digging out field.

The surface area of a sphere inscribed in a regular tetrahedron is 144 cm2


23. If a sphere is inscribed in a cube of side What is the volume of the sphere?


a) 36πcm^3

b) 8/3πcm^3

c) 288πcm^3

d) 972πcm^3

The surface area of a sphere inscribed in a regular tetrahedron is 144 cm2


22. What is the altitude of the tetrahedron?.

a) 20 cm

b) 24 cm

c) 28 cm

d) 48 cm

The surface area of a sphere inscribed in a regular tetrahedron is 144 cm2


21. What is the radius of the sphere?


a) 12 cm

b) 7 cm

c) 6 cm

d) 5 cm

The total area of a regular tetrahedron is 110.85 m2, determine its base edge.

6. If the lateral area of a right circular cylinder is 90 cm2 and its volume is 225 cm3, find its radius.

7. Determine the lateral area of a cylinder of height 300mm and base radius of 100mm.