Question

Please help me find the total surface area

Answer 1

SA= 64cm

4 triangles: 4(6)/2=12
square: 4(4)=16

SA= 12+12+12+12+16
SA= 64

Answer 2

Area of the figure = 64 cm²

Explanation:

To find the total surface area (TSA) of the figure, we must add the areas of the 4 triangles along with the area of the square.

Given,

• Altitude of triangle (h) = 6 cm
• Base of triangle (b) = 4 cm
• Side of the square (h) = 4 cm

By using these values,

• Area of the triangle = ½ bh
• Area of the triangle = ½ × 6 × 4
• Area of the triangle = ½ × 24
• Area of the triangle = 12 cm²

Now,

• Area of the square = s²
• Area of the square = 4²
• Area of the square = 16 cm²

So, from this,

• Area of the figure = (4 × Area of the triangle) + Area of the square
• Area of the figure = (4 × 12) + 16
• Area of the figure = (48) + 16
• Area of the figure = 64 cm²

•°• The TSA of the figure is 64 cm².

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Hope it helps!

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