A prism with a parallelogram base has base area $80\text{cm}^2$ and height 12 cm. If its lateral surface area is $384\text{cm}^2$
A prism with a parallelogram base has base area $80\text{cm}^2$ and height 12 cm. If its lateral surface area is $384\text{cm}^2$, What is the perimeter of the base?
समांतर चतुर्भुज आधार वाले एक प्रिज़्म का क्षेत्रफल 80वर्ग सेमी और ऊँचाई 12 सेमी है। यदि इसका पार्श्व पृष्ठीय क्षेत्रफल 384वर्ग सेमी है। तो आधार का परिमाप क्या हैं?
Detailed Solution & Logic
32 cm/ सेमी
You have given:
- Base area = $80 \text{ cm}^2$
- Height = 12 cm
- Lateral surface area = $384 \text{ cm}^2$
But what needs to be found is missing (e.g., perimeter of base, volume, side length, etc.).
👉 From given data, we can find:
Lateral surface area of prism
$= (\text{Perimeter of base}) \times \text{height}$
So,
$384 = (\text{Perimeter}) \times 12$
Perimeter
$= \frac{384}{12} = 32 \text{ cm}$
If your question was asking perimeter, then:
Answer = 32 cm ✅
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