Everything Maths Grade 10

(Marvins-Underground-K-12) #1

VISIT:


This video explains how we can unfold solids into nets.
See video:2GS2atwww.everythingmaths.co.za

Worked example 2: Finding the surface area of a rectangular prism


QUESTION


Find the surface area of the following rectangular prism:


10 cm

2 cm
5 cm

SOLUTION


Step 1: Sketch and label the net of the prism


2 cm

5 cm

2 cm 5 cm

10 cm

Step 2: Find the areas of the different shapes in the net


large rectangle=perimeter of small rectanglelength
= (2 + 5 + 2 + 5) 10
= 14 10
=140 cm^2

2 small rectangle= 2 (52)
= 2 (10)
=20 cm^2

Step 3: Find the sum of the areas of the faces


large rectangle+ 2small rectangle= 140 + 20 = 160


Step 4: Write the final answer
The surface area of the rectangular prism is 160 cm^2.


422 13.2. Right prisms and cylinders
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