Mathematically Similar Shapes Volume And Surface Area

Similar shapes area volume practice questions click here for questions.

Mathematically similar shapes volume and surface area. The scale factor for volume for small to big solid is the following. The surface area of shape a is 80 cm2. The base of shape a is a circle with radius 4 cm. For the full list of videos and more revision resources visit www mathsgenie co uk.

The surface area of the smaller solid is. Volume of similar figures level 1. Obtain the scale factor equate its square to the ratio of the surface areas and solve for the missing sa. Two solid shapes a and b are mathematically similar.

When calculating a missing volume we need to calculate the volume scale factor. The base of shape b is a circle with radius 8 cm. The area scale factor 4 2 16 text larger area 16 times text smaller area 28 3 x 16 452 8. A b 4 cm 8 cm a work out the surface area of shape b.

Recapitulate how scale factors affect the volume of similar solids and equate the ratio of the volumes to the cube of the scale factor to solve the missing volumes here. Firstly we will determine the scale factor that relates the side lengths dividing the larger by the smaller. The volumes of two mathematically similar solids are in the ratio 27 125. The volume of shapea 6 0 0 c m 3a 600 text cm 3 a 600 cm3.

August 29 2019 corbettmaths. The area of the large clock face is approximately 452 8 cm 2. Textcolor blue 8 8. B work out the volume of shape a cm2 2.

Find more material on this topic by following this link. How to use the ideas of volume scale factor and area scale factor to answer a standard exam question. Click here for answers. Sf 22 div11 textcolor red 2 s f 22 11 2.

Area 4 times 22 88c m 2 similar volumes. I divided by 25 to form. The volume of shape b is 600cm3. Work out the surface area of the larger solid.