Leign Ann is aesignng a wiapper ior a new adir crocurate canay val tat ner company is going to sen. the canuy wai is a tangural prism. The dimensions of the candy bar are shown in the diagram.
7.4 cm
6.9 cm
7.4 cm/
9.9 cm
5.1
cm
Which measurement is closest to the total surface area of the candy bar in square centimeters?
232.20 cm?
4x
197.01 cm-
매X
265.32 ст~
174.19 ст?
To calculate the total surface area of the candy bar, we need to find the sum of the areas of all the faces.
The candy bar has 6 faces - 2 rectangular faces and 4 trapezoid faces.
The area of a rectangle is length * width, so the area of one rectangular face is 7.4 cm * 6.9 cm = 51.06 cm².
The area of a trapezoid is (base1 + base2) * height / 2, so the area of one trapezoid face is (7.4 cm + 9.9 cm) * 5.1 cm / 2 = 63.84 cm².
Since there are 4 trapezoid faces, the total area of the trapezoid faces is 4 * 63.84 cm² = 255.36 cm².
The total surface area of the candy bar is the sum of the areas of all the faces, so total surface area = 2 * 51.06 cm² + 255.36 cm² = 357.48 cm².
Among the given options, the measurement that is closest to the total surface area is 357.48 cm².