Math Problem Statement

Một hình hộp chữ nhật có chiều dài 8 cm, chiều rộng bằng 3/2 chiều dài và chiều cao bằng 2/3 chiều rộng. Diện tích xung quanh của hình hộp chữ nhật đó là:

Solution

The image contains a problem about a rectangular prism. Let's break it down:

The length of the rectangular prism is given as 8 cm, and the width is related to the length by a ratio. Specifically, the width is 32\frac{3}{2} of the length.

You are asked to find the surface area (dientich xung quanh) of this rectangular prism.

Let’s first define the dimensions based on the information provided:

  • Length L=8cmL = 8 \, \text{cm}
  • Width W=32×8=12cmW = \frac{3}{2} \times 8 = 12 \, \text{cm}
  • Height H=23×W=8cmH = \frac{2}{3} \times W = 8 \, \text{cm}

Next, the surface area (diện tích xung quanh) of a rectangular prism is calculated using the formula:

A=2(LW+LH+WH)A = 2(LW + LH + WH)

Let me calculate the surface area for you. Given values L = 8 # Length in cm W = 12 # Width in cm H = 8 # Height in cm

Surface area formula for rectangular prism

A = 2 * (L * W + L * H + W * H) AThe surface area of the rectangular prism is 512 cm².

Would you like more details on how this was calculated, or do you have any questions? Here are a few related topics you might be interested in:

  1. How to calculate the volume of a rectangular prism.
  2. The relationship between the dimensions of different types of prisms.
  3. The difference between surface area and volume.
  4. How to solve other geometric problems with ratios.
  5. Practical applications of surface area in real-life scenarios.

Tip: When dealing with ratios in geometry, always ensure that all units are consistent before performing calculations!

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Math Problem Analysis

Mathematical Concepts

Geometry
Rectangular Prism
Surface Area

Formulas

A = 2(LW + LH + WH)

Theorems

Surface Area Formula for Rectangular Prisms

Suitable Grade Level

Grades 7-9