新加坡AEIS考试专项训练，表面积计算，请在45分钟内作答

小留学生来新加坡就读政府学校需要参加AEIS考试，今年在9月举行。现在该倒计时了，我们带大家按专题进行强化训练。

今天的训练内容是表面积计算，为参加中一考试的考生准备，请同学们在45分钟内完成。由于大家要用英语参加考试，小编不给中文翻译了，练习提高英文试题的理解效率。

为了考察小留学生的学术英语水平，有些题是不给图示的，这就需要同学们英语要好，得能快速读题，不要在题意理解上浪费时间。英文读题专项训练请到主页查找前期文章。

1. A toy is in the form of a cone mounted on a hemisphere with same radius. The diameter of the base of the conical portion is 7 cm and the total height of the toy is 14.5 cm. Find the volume of the toy.

2.150 spherical marbles, each of radius 1.4 cm, are dropped in a cylinderical vessel of radius 7 cm containing some water, which are completely immersed in water. Find the rise in the level of water in the vessel.

3.If we reduce the length of the cube edge by 30%, this reduced cube has an area of ​1176 cm². Specify the edge length and volume of the original cube.

4.A gift box in the shape of a rectangular prism measures 8in by 8in by 10in. What is the least amount of wrapping paper needed to wrap the gift box? What is the surface area the gift box?

5. A circular tent is cylinderical up to a height of 3 m and conical above it. If the diameter of the base of the cone and cylinder is 105 m and the slant height of the conical part is 53 m, find the total canvas used in making the tent.

6. A solid composed of a cylinder with hemispherical ends. if the whole length of the solid is 108 cm and the diameter of the hemispherical end is 36 cm, find the cost of polishing its surface at the rate of 7 dollar per square cm.

7. A 5 m wide cloth is used to make a conical tent of base diameter 14m and height 24m. Find the cost of cloth used at the rate of $25 per metre.

8. A girl empties a cylinderical bucket, full of sand, of base radius 18 cm and height 32 cm, on the floor to form a conical heap of sand. If the height of this conical heap is 24 cm, then find its slant height correct up to one place of decimal.

9. The largest possible sphere is carved out of a wooden solid cube of side 7 cm. Find the volume of the wood left.

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