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ne surtace area of the triangular prism. The base of the prism is an isosceles triangle. The surtace area is ◻ cm^(2)

ne surtace area of the triangular prism. The base of the prism is an isosceles triangle.\newlineThe surtace area is □ \square cm2 \mathrm{cm}^{2}

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Q. ne surtace area of the triangular prism. The base of the prism is an isosceles triangle.\newlineThe surtace area is □ \square cm2 \mathrm{cm}^{2}
  1. Find Triangle Area: First, we need to find the area of the isosceles triangle base. Let's say the base of the triangle bb is 'bb' cm and the height hh is 'hh' cm. The area of the triangle AA is given by A=12×b×hA = \frac{1}{2} \times b \times h.
  2. Calculate Rectangular Sides: Next, we need to calculate the area of the three rectangular sides of the prism. If the length of the prism ll is 'll' cm, then the area of each rectangle is l×hl \times h. Since there are two identical rectangles, their combined area is 2×l×h2 \times l \times h.
  3. Add Areas for Total Surface Area: The third rectangle's area is the base length bb times the length of the prism ll, so its area is b×lb \times l.
  4. Plug in Measurements: Now, we add the areas of the base triangle and the three rectangles to get the total surface area (SA) of the prism: SA=A+2×l×h+b×lSA = A + 2 \times l \times h + b \times l.
  5. Plug in Measurements: Now, we add the areas of the base triangle and the three rectangles to get the total surface area (SA) of the prism: SA=A+2×l×h+b×lSA = A + 2 \times l \times h + b \times l.Let's plug in the numbers. Oops, we don't have the actual measurements for bb, hh, and ll. We can't calculate the surface area without those numbers. We need to know the dimensions of the base triangle and the length of the prism to solve this.

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