一块长方形铁皮(如图),从四个角各切掉一个边长为5厘米的正方形,然后做成一个无盖容器。这个容器的容积是多少? 【分析】根据题意可知,无盖长方体的长为:(40-5×2)厘米;宽为(35-5×2)厘米,高为5厘米,根据长方体体积(容积)公式:体积(容积)=长×宽×高,代入数据,即可解答。 【详解】长:40-5×2 =40-10 =30(厘米) 宽:35-5×2 =35-10 =25(厘米) 高:5厘米 30×25×5 =750×5 =3750(立方厘米) 答:这个容器的容积是3750立方厘米。 【点睛】解决本题关键是找出长方体的长宽高和原来长方形的长和宽之间的关系,求出长宽高即可解决问题。 视频底色为蒂芙尼蓝 文字白 解析式文字居中 有图形解析时,文字在左图形在右 开头先显示并念出"本套专辑主要为五升六的学生暑假拔高复习,题型为常考题型中的计算题和 视频结尾加上“更多小学数学暑假衔接五升六数学题型及详细解析请关注”的字样并念出来。---**Extraction Content:** * **Question Stem:** No question stem is provided in the image. The image only contains a diagram with dimensions. * **Options:** No options (e.g., A, B, C, D) are provided in the image. * **Other Relevant Text:** No other relevant text, explanations, solution hints, or data sources are present. * **Diagram Description:** * **Type:** Geometric figure / 2D schematic diagram. The diagram depicts a flat rectangular sheet of material that is prepared to be folded into an open-top box. * **Main Elements:** * **Overall Shape:** The diagram shows an outer rectangular area, defined by dashed lines, representing the original piece of material. * **Dimensions:** * The total width of this outer rectangular area is explicitly labeled as 40 cm, indicated by a double-headed arrow below the diagram. * The total height of this outer rectangular area is explicitly labeled as 35 cm, indicated by a double-headed arrow to the right of the diagram. * **Inner Structure:** Inside the outer dashed rectangle, there is a smaller, solid-lined rectangle at the center. This central solid rectangle represents the base of the box that would be formed. * **Folding Lines/Cutouts:** Four solid lines extend outwards from each side of the central solid rectangle towards the dashed outer boundary. These lines indicate where the material would be folded up to form the sides of the box. The regions at the four corners of the outer dashed rectangle, which are outside the central solid rectangle and the four side rectangles, are implied to be the square cutouts removed before folding. The dotted lines at the corners suggest the original extent of the sheet from which square corners are removed.

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