MeasurIngVOlume

Area: is the flat space inside the boundaries of a 2-dimensional object

Volume: is the space inside a 3-dimensional object

Draw diagrams for all questions BEFORE attempting to answer them

  1. Calculate the area of the following objects

a)A stamp with a width of 3cm and length of 2cm

b)A circular coaster with a radius of 5cm (A=πr2)

c)An isosceles triangular poster with a base length of 50cm and a height of 50cm

d)A trapezoid bathroom tile with parallel side lengths of 25cm and 17cm and a height of 10cm.

  1. Ned decided the use the cardboard from a supermarket packing box to create a model of his energy efficient house. What area of cardboard would he have if he flattened and measured all side areas? The box was a rectangular prism with a width of 30cm, length 40cm and height 50cm. Note: ( he did not use the pieces that made up the top and bottom)
  1. Jake had an identical box to Ned, but was going to use it for storage.

a)What volume can he store in the box?

Note: the volume of the box can be calculated as V=l x w x h

or V = area of base(Ab) x h - this works for all prisms where the end area is unchanging throughout the objecteg: a cylinder

b)Calculate the volume of aweet-bix packet with a width of 7cm, length 20cm and height of 18cm.

c)Calculate the volume of chocolate in a bar of Toblerone: (end triangular area 5cm2, length 15cm)

d)Calculate the volume of a cylinder(end circular area 10cm2, height 12cm)

  1. The pyramid below is NOT a prism.

a)Estimate the fraction of the volume of rectangular prism that the pyramid occupies.

b)Look up the formula for the volume of a pyramid and calculate its volume if its base area is 200m2 and it has a height of 50m.

c)What if the base area of a pyramid is 50m2 and the height is 20m?