3D Shapes Pythagorean Theorem

A swimming pool has the dimensions shown. Use x to represent the length of the diagonal that goes from the bottom corner to the top corner at the opposite end of the pool, as shown by the diagonal dotted line. What is the value of x? 

• 31.3

• 32.3

• 33.3

• 64

What is the approximate length of c?

• 3

• 1.732

• 1

• 2.449

What is the approximate length of the blue line?

• 6.56

• 23

• 45

• 3.32

During a recent storm, a tree was blown over. The top of the tree landed 18 feet from the bottom of the tree.  

Which is the closest to the original height of the tree?

Nearest whole number

Mathematical Equivalence

ON

Find the value of x in the cone

Find the length of OC in the shape pictured below where O is the centre of the base ABCD.

Give your answer to 2 significant figures.

7.) Find the value of x in the cone

What is the distance the spooky spider travels if it crawls up the entire diagonal inside the coffin.

• 2 units

• 6 units

• 100 units

• 32 units

What is the approximate width of the base?

• 7 ft

• 5 ft

• 3 ft

• 2 ft

What is the height of the cone? 

• 14 cm

• 8 cm

• 12 cm

• 13.9 cm