Everything Maths Grade 10

Step 3: Find the sum of the areas 9 p 3 + 90 =105,6 cm^2 Step 4: Write the final answer The surface area of the triangular pyram ...

4 cm 14 cm h h^2 = 4^2 + 14^2 )h= √ 42 + 14^2 = 2 p 53 cm area of walls= 1 2 2 rh =(4) ( 2 p 53 ) = 8 p 53 cm^2 Step 3: Find ...

SOLUTION surface area of sphere= 4r^2 = 4(5)^2 = 100 =314,2 cm^2 Worked example 11: Examining the surface area of a cone QUES ...

Step 3: Calculatea acan be calculated using the theorem of Pythagoras: a= √ r^2 +h^2 Step 4: Calculate the area of the circular ...

b) | 10 cm 6 cm c) 6 cm 6 cm 12 cm d) 10 cm 2.The figure here is a cone. The vertical height of the cone isH=9,16 units and the ...

9,16^10 4 3.The figure here is a sphere. The radius of the sphere isr=8 units. Calculate the surface area of the figure. Round y ...

Volume of pyramids, cones and spheres EMA7S Square pyramid | H | | | b Volume =^13 area of base height of pyramid =^13 b^2 H ...

SOLUTION Step 1: Sketch and label the pyramid 2 cm 2 cm 3 cm Step 2: Select the correct formula and substitute the given values ...

SOLUTION Step 1: Sketch the base triangle and calculate its area 4 cm hb 8 cm The height of the base triangle (hb) is: 82 = 4^2 ...

122 = 2 p 3 2 +H^2 H^2 = 130 )H= p 130 cm Step 3: Calculate the volume of the pyramid V= 1 3  1 2 bhbH = 1 3  16 p 3  p 130 ...

Step 2: Calculate the volume V= 1 3 r^2 H = 1 3  9  11 =103,7 cm^3 Step 3: Write the final answer The volume of the cone i ...

Worked example 16: Finding the volume of a complex object QUESTION A triangular pyramid is placed on top of a triangular prism, ...

Now we can find the volume of the prism: )volume of prism=area of base triangleheight of prism = 100 p 3  42 = 4200 p 3 cm^3 S ...

area of one prism side=bhp = 20 42 =840 cm^2 Because the base triangle is equilateral, each side of the prism has the same are ...

3.The figure here is a pyramid with a square base. The vertical height of the pyramid isH=8 units and the slant height ish=8,94 ...

c) 6 cm 6 cm 12 cm d) 10 cm 5.Find the surface area and volume of the cone shown here. Round your answers to the nearest integer ...

7.The solid below is made up of a cube and a square pyramid. Find its volume and surface area (correct to 1 decimal place): 5 cm ...

Dimensions Volume Surface Multiply two dimensions by 5 5 h b 5 l V 2 = 5lb 5 h = 5:5 (lbh) = 5^2 V A 2 = 2 [(5l 5 h) + (5lb ...

SOLUTION Step 1: Calculate the original volume and surface area V=lbh = 3 3  4 =36 cm^3 A= 2 [(lh) + (lb) + (bh)] = 2 [(3 ...

Worked example 19: Multiplying the dimensions of a rectangular prism byk QUESTION Prove that if the height of a rectangular pris ...