Question

Isaiah 沿一些边剪开一个纸板立方体，形成下图所示的平面图形，其面积为 $18$ 平方厘米。原立方体的体积是多少立方厘米？

Isaiah cuts open a cardboard cube along some of its edges to form the flat shape shown, which has an area of $18$ square centimeters. What was the volume of the cube in cubic centimeters?

$3\sqrt{3}$

$6$

$9$

$6\sqrt{3}$

$9\sqrt{3}$

答案：A

知识点：展开图（立体几何）表面积体积

难度评级：960

视频讲解：

Click to load, then click again to play

文字解答：

展开图由 $6$ 个正方形面组成，所以每个面的面积是 $18 \div 6 = 3$ 。立方体边长为 $\sqrt{3}$ 。体积为 $\sqrt{3} \times \sqrt{3} \times \sqrt{3} = 3\sqrt{3}$ 。正确答案是 A。

There are $6$ squares, so each has area $18 \div 6 = 3.$ Then the side length of the cube is $\sqrt{3}.$ The volume is $\sqrt{3} \times \sqrt{3} \times \sqrt{3} = 3\sqrt{3},$ which is choice A.

2025 AMC 8 第 8 题

答案：A

难度评级：960

视频讲解：

文字解答：

其他年份的第 8 题