Math Problem Statement

Hitunglah luas permukaan balok dengan ukuran 9 cm x 8 cm x 4 cm.

Solution

From the image you've uploaded, you're asking to calculate the surface area of a rectangular prism (balok) with the dimensions of 9 cm, 8 cm, and 4 cm.

To find the surface area of a rectangular prism, the formula is: Surface Area=2(lw+lh+wh)\text{Surface Area} = 2(lw + lh + wh) where ll, ww, and hh are the length, width, and height of the prism respectively.

Given:

  • l=9cml = 9 \, \text{cm}
  • w=8cmw = 8 \, \text{cm}
  • h=4cmh = 4 \, \text{cm}

Substituting these values into the formula, we get: Surface Area=2((9×8)+(9×4)+(8×4))\text{Surface Area} = 2((9 \times 8) + (9 \times 4) + (8 \times 4))

Let's calculate this.The surface area of the rectangular prism with dimensions 9cm×8cm×4cm9 \, \text{cm} \times 8 \, \text{cm} \times 4 \, \text{cm} is 280cm2280 \, \text{cm}^2.

Would you like any further details on this calculation, or do you have any other questions?

  1. How would the surface area change if one dimension is doubled?
  2. What would be the surface area if all dimensions were increased by 2 cm each?
  3. How does changing the height affect the total surface area more than changing the width?
  4. Would you like to learn how to calculate the volume of this rectangular prism?
  5. How would the surface area calculation change if the shape were a cube instead of a rectangular prism?

Tip: When calculating the surface area of any prism, always verify the dimensions twice to avoid any calculation errors.

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Math Problem Analysis

Mathematical Concepts

Geometry
Surface Area Calculation

Formulas

Surface Area = 2(lw + lh + wh)

Theorems

Surface Area of a Rectangular Prism

Suitable Grade Level

Grades 7-9